Research Group
Jürgen Jost

Contact: Email
Phone:
+49 (0) 341 - 9959 - 550

Address:
Inselstr. 22
04103 Leipzig

Administrative Assistant:
Antje Vandenberg
Email, Phone/Fax:
+49 (0) 341 - 9959
- 552
- 658

Geometry, the calculus of variations and geometric analysis

1. Textbooks and monographs

Jost, Jürgen: Biologie und Mathematik
Wiesbaden : Springer Spektrum, 2019. - XV, 304 p.
(essentials)
ISBN 978-3-662-59479-7 ISBN 978-3-662-59480-3
[DOI]

Jost, Jürgen: Kategorientheorie : eine kurze Einführung
Wiesbaden : Springer Spektrum, 2019. - VII, 53 p.
(essentials)
ISBN 978-3-658-28312-4 ISBN 978-3-658-28313-1
[DOI]

Jost, Jürgen: Spektren, Garben, Schemata : eine kurze Einführung
Wiesbaden : Springer Spektrum, 2019. - VII, 39 p.
(essentials)
ISBN 978-3-658-28316-2 ISBN 978-3-658-28317-9
[DOI]

Jost, Jürgen: Algebraische Strukturen : eine kurze Einführung
Wiesbaden : Springer Spektrum, 2019. - VIII, 44 p.
(essentials)
ISBN 978-3-658-28314-8 ISBN 978-3-658-28315-5
[DOI]

Ay, Nihat ; Jost, Jürgen ; Lê, Hông Vân and Lorenz J. Schwachhöfer: Information geometry
Cham : Springer, 2017. - XI, 407 p.
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A series of modern surveys in mathematics ; 64)
ISBN 978-3-319-56477-7 ISBN 978-3-319-56478-4
[DOI]

Jost, Jürgen: Riemannian geometry and geometric analysis
Seventh edition. - Berlin [u. a.] : Springer, 2017. - XIV, 697 p.
(Universitext)
ISBN 978-3-319-61860-9 ISBN 978-3-319-61859-3
[DOI]

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    6. edition. - Berlin [u. a.] : Springer, 2011. - XIII, 611 p.
    ISBN 978-3-642-21297-0 ISBN 978-3-642-21298-7
    [DOI]

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    5. edition. - Berlin [u. a.] : Springer, 2008. - IX, 583 p.
    ISBN 978-3-540-77340-5 ISBN 978-3-540-77341-2
    [DOI]

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    4. edition. - Berlin [u. a.] : Springer, 2005. - XIV, 566 p.
    (Universitext)
    ISBN 3-540-25907-7 ISBN 978-3-540-25907-7 ISBN 978-3-540-28891-6 ISBN 3-540-25907-4
    [DOI]

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    3. edition. - Berlin [u. a.] : Springer, 2002. - XIII, 532 p.
    (Universitext)
    ISBN 3-540-42627-2

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    2. edition. - Berlin [u. a.] : Springer, 1998. - XIII, 455 p.
    (Universitext)
    ISBN 3-540-63654-4

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    Berlin [u. a.] : Springer, 1995. - XI, 401 p.
    (Universitext)
    ISBN 3-540-57113-2 ISBN 0-387-57113-2

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    4. edition. - Bejing : World Books Pub. Corp., 2008. - XIV, 566 p.
    (Universitext)
    ISBN 978-7-5062-9192-7 ISBN 7-5062-9192-4

Eschenburg, Jost-Hinrich and Jürgen Jost: Differentialgeometrie und Minimalflächen
3., aktualisierte Auflage. - Berlin : Springer, 2014. - XV, 258 p.
ISBN 978-3-642-38521-6 ISBN 978-3-642-38522-3
[DOI]

  • Jost, Jürgen and Jost-Hinrich Eschenburg: Differentialgeometrie und Minimalflächen
    2., vollständig überarbeitete und erweiterte Auflage. - Berlin : Springer, 2007. - XV, 256 p.
    ISBN 978-3-540-22227-9 ISBN 978-3-540-68293-6
    [DOI]

  • Jost, Jürgen: Differentialgeometrie und Minimalflächen
    Berlin [u. a.] : Springer, 1994. - XII, 151 p.
    ISBN 3-540-56904-9

Jost, Jürgen: Partial differential equations
Third edition. - New York, NY : Springer, 2013. - XIII, 410 p.
(Graduate texts in mathematics ; 214)
ISBN 978-1-4614-4808-2 ISBN 978-1-4614-4809-9
[DOI]

  • Jost, Jürgen: Partial differential equations
    Second edition. - New York, NY : Springer, 2007. - XIII, 356 p.
    (Graduate texts in mathematics ; 214)
    ISBN 978-0-387-49318-3 ISBN 978-0-387-49319-0 ISBN 0-387-49319-0 ISBN 0-387-49318-2
    [DOI]

  • Jost, Jürgen: Partial differential equations
    New York, NY : Springer, 2002. - XII, 325 p.
    (Graduate texts in mathematics ; 214)
    ISBN 0-387-95428-7

  • Jost, Jürgen: Partial differential equations
    Second edition, reprint for sale in the Mainland China. - New York, NY : Springer, 2007. - XIII, 356 p.
    (Graduate texts in mathematics ; 214)
    ISBN 978-0-387-49318-3 ISBN 978-0-387-49319-0 ISBN 0-387-49319-0 ISBN 0-387-49318-2

Jost, Jürgen: Geometry and physics
Heidelberg [u. a.] : Springer, 2009. - XIV, 217 p.
ISBN 978-3-642-00541-1 ISBN 978-3-642-00540-4
[DOI]

Jost, Jürgen and Xianqing Li-Jost: Calculus of variations
Paperback reprint of the hardback edition 1998. - Cambridge [u. a.] : Cambridge University Press, 2008. - XVI, 323 p.
(Cambridge studies in advanced mathematics ; 64)
ISBN 0-521-05712-4 ISBN 978-0-521-05712-7
[DOI]

  • Jost, Jürgen and Xianqing Li-Jost: Calculus of variations
    Cambridge [u. a.] : Cambridge University Press, 1998. - XVI, 323 p.
    (Cambridge studies in advanced mathematics ; 64)
    ISBN 978-0-521-05712-7 ISBN 0-521-64203-5

Jost, Jürgen: Compact Riemann surfaces : an introduction to contemporary mathematics
3. edition. - Berlin : Springer, 2006. - XVI, 277 p.
(Universitext)
ISBN 3-540-33065-8 ISBN 978-3-540-33065-3
[DOI]

  • Jost, Jürgen: Compact Riemann surfaces : an introduction to contemporary mathematics
    2. edition. - Berlin : Springer, 2002. - XVI, 278 p.
    (Universitext)
    ISBN 3-540-43299-x

  • Jost, Jürgen: Compact Riemann surfaces : an introduction to contemporary mathematics
    Berlin [u. a.] : Springer, 1997. - XIV, 291 p.
    (Universitext)
    ISBN 3-540-53334-6

  • Jost, Jürgen: Compact Riemann surfaces : an introduction to contemporary mathematics
    3. edition. - Bejing : Shi jie tu shu chu ban gong si Beijing gong si, 2009. - XVI, 277 p.
    (Universitext)
    ISBN 978-7-5100-0472-8 ISBN 7-5100-0472-1

Jost, Jürgen: Postmodern analysis
3. edition. - Berlin [u. a.] : Springer, 2005. - XV, 371 p.
(Universitext)
ISBN 978-3-540-25830-8 ISBN 3-540-25830-2
[DOI]

  • Jost, Jürgen: Postmodern analysis
    2. edition. - Berlin : Springer, 2003. - XVIII, 367 p.
    (Universitext)
    ISBN 3-540-43873-4

  • Jost, Jürgen: Postmodern analysis
    Berlin : Springer, 1998. - XV, 353 p.
    (Universitext)
    ISBN 3-540-63485-1

  • Jost, Jürgen: Posutomodan kaisekigaku : gensho dai 3-han
    Third edition. - Tokyo : Springer, 2009. - XII, 395 p.
    ISBN 978-4-431-10055-3

  • Jost, Jürgen: Posutomodan kaisekigaku = Postmodern analysis
    Japanese edition. - Tokyo : Springer, 2000. - XI, 418 p.
    ISBN 978-4-431-10055-3 ISBN 4-431-70871-5

Jost, Jürgen: Bosonic strings : a mathematical treatment
Providence, RI : American Mathematical Society [u. a.], 2001. - XI, 95 p.
(AMS/IP studies in advanced mathematics ; 21)
ISBN 0-8218-2644-1

Jost, Jürgen: Partielle Differentialgleichungen : elliptische (und parabolische) Gleichungen
Berlin [u. a.] : Springer, 1998. - XI, 289 p.
ISBN 3-540-64222-6

Jost, Jürgen: Nonpositive curvature : geometric and analytic aspects
Basel [u. a.] : Birkhäuser, 1997. - VIII, 108 p.
(Lectures in mathematics, ETH Zürich)
ISBN 3-7643-5736-3 ISBN 0-8176-5736-3
[DOI]

Albeverio, Sergio ; Jost, Jürgen ; Paycha, Sylvie and Sergio Scarlatti (eds.): A mathematical introduction to string theory : variational problems, geometric and probabilistic methods
1. published. - Cambridge : Cambridge University Press, 1997. - VIII, 135 p.
(London Mathematical Society lecture note series ; 225)
ISBN 0-521-55610-4

Jost, Jürgen: Two-dimensional geometric variational problems
Chichester [u. a.] : Wiley, 1991. - X, 236 p.
ISBN 0-471-92839-9

Jost, Jürgen (ed.): Nonlinear methods in Riemannian and Kählerian geometry : delivered at the German Mathematical Society seminar in Düsseldorf in June, 1986
Revised 2. edition. - Basel [u. a.] : Birkhäuser, 1991
(DMV Seminar ; 10)
ISBN 3-7643-2685-9 ISBN 0-8176-2685-9

  • Jost, Jürgen (ed.): Nonlinear methods in Riemannian and Kählerian geometry : delivered at the German Mathematical Society seminar in Düsseldorf in June, 1986
    Basel [u. a.] : Birkhäuser, 1988
    (DMV Seminar ; 10)
    ISBN 3-7643-1920-8

Jost, Jürgen: Harmonic maps between surfaces : with a special chapter on conformal mappings
Berlin [u. a.] : Springer, 1984. - X, 133 p.
(Lecture notes in mathematics ; 1062)
ISBN 3-540-13339-9 ISBN 0-387-13339-9
[DOI]

Jost, Jürgen (ed.): Harmonic mappings between Riemannian manifolds : proceedings of the Centre for Mathematical Analysis, Australian National University, Vol. 4
Canberra : Centre for Mathematical Analysis, Australian National University, 1983. - VI, 177 p.
ISBN 0-86784-403-5

2. Harmonic mappings and their generalizations

Topics

  • Existence, uniqueness and regularity of harmonic mappings between Riemannian manifolds
  • conformal invariance and harmonic maps from Riemann surfaces
  • harmonic maps and Bernstein type theorems
  • Hermitian and affine harmonic maps
  • generalized harmonic mappings between (possibly not locally compact) metric spaces, existence and regularity
  • Dirac harmonic mappings, existence and regularity
Jost, Jürgen and Jingyong Zhu: Uniqueness of Dirac-harmonic maps from a compact surface with boundary
In: Journal of differential equations, 357 (2023), p. 388-411
[DOI]

Assimos, Renan and Jürgen Jost: Harmonic maps from surfaces of arbitrary genus into spheres
In: Calculus of variations and partial differential equations, 62 (2023) 1, 17
[DOI] [ARXIV]

Gui, Yaoting ; Jost, Jürgen and Xianqing Li-Jost: Subelliptic harmonic maps with values in metric spaces of nonpositive curvature
In: Communications in mathematical research, 38 (2022) 4, p. 516-534
[DOI]

Jost, Jürgen ; Sun, Linlin and Jingyong Zhu: Dirac-harmonic maps with trivial index
Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck \(a\)-harmonic maps
In: Advances in mathematics, 396 (2022), 108105
MIS-Preprint: 71/2017 [DOI]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: A mixed elliptic-parabolic boundary value problem coupling a harmonic-like map with a nonlinear spinor
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 785 (2022), p. 81-116
MIS-Preprint: 35/2017 [DOI]

Jost, Jürgen: From linear to convex
In: Journal of convex analysis, 28 (2021) 2, p. 599-612
[FREELINK]

Jost, Jürgen and Jingyong Zhu: Existence of (Dirac-)harmonic maps from degenerating (spin) surfaces
In: The journal of geometric analysis, 31 (2021) 11, p. 11165-11189
MIS-Preprint: 69/2020 [DOI] [ARXIV]

Jost, Jürgen and Jingyong Zhu: Short-time existence of the \(\alpha\)-Dirac-harmonic map flow and applications
In: Communications in partial differential equations, 46 (2021) 3, p. 442-469
MIS-Preprint: 105/2019 [DOI] [ARXIV]

Jost, Jürgen ; Lê, Hông Vân and Tat Dat Tran: Probabilistic morphisms and Bayesian nonparametrics
In: The European physical journal plus, 136 (2021) 4, 441
MIS-Preprint: 43/2019 [DOI] [ARXIV]

Jost, Jürgen and Jingyong Zhu: \(\alpha\)-Dirac-harmonic maps from closed surfaces
In: Calculus of variations and partial differential equations, 60 (2021) 3, 111
MIS-Preprint: 31/2019 [DOI] [ARXIV]

Chen, Qun ; Jost, Jürgen and Hongbing Qiu: On \(VT\)-harmonic maps
In: Annals of global analysis and geometry, 57 (2020) 1, p. 71-94
[DOI]

Assimos, Renan and Jürgen Jost: Spherical Bernstein theorems for codimension 1 and 2
Assimos, Renan and Jürgen Jost: The geometry of maximum principles and a Bernstein theorem in codimension 2
Jost, Jürgen ; Li-Jost, Xianqing and Chen Qun: Harmonic maps and their generalizations
In: Scientia sinica mathematica = Zhongguo-kexue shuxue, 49 (2019) 2, p. 125-138
[DOI]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Correction to: 'Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index' [58 (2019) 4, 142]
In: Calculus of variations and partial differential equations, 58 (2019) 5, 174
[DOI]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index
In: Calculus of variations and partial differential equations, 58 (2019) 4, 142
MIS-Preprint: 37/2018 [DOI]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Regularity of Dirac-harmonic maps with \(\lambda\)-curvature term in higher dimensions
In: Calculus of variations and partial differential equations, 58 (2019) 6, 187
MIS-Preprint: 25/2017 [DOI]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary
In: Annales de l'Institut Henri Poincaré / C, 36 (2019) 2, p. 365-387
MIS-Preprint: 11/2017 [DOI] [ARXIV]

Han, XiaoLi ; Jost, Jürgen ; Liu, Lei and Liang Zhao: Global existence of the harmonic map heat flow into Lorentzian manifolds
In: Journal de mathématiques pures et appliquées, 130 (2019), p. 130-156
MIS-Preprint: 70/2016 [DOI] [ARXIV]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Bubbling analysis near the Dirichlet boundary for approximate harmonic maps from surfaces
In: Communications in analysis and geometry, 27 (2019) 3, p. 639-669
MIS-Preprint: 38/2016 [DOI]

Chen, Qun ; Jost, Jürgen ; Sun, Linlin and Miaomiao Zhu: Dirac-harmonic maps between Riemann surfaces
In: The Asian journal of mathematics, 23 (2019) 1, p. 107-125
MIS-Preprint: 76/2015 [DOI]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Geometric analysis of a mixed elliptic-parabolic conformally invariant boundary value problem
MIS-Preprint: 41/2018

Jost, Jürgen: Riemannian geometry and geometric analysis
Seventh edition. - Berlin [u. a.] : Springer, 2017. - XIV, 697 p.
(Universitext)
ISBN 978-3-319-61860-9 ISBN 978-3-319-61859-3
[DOI]

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    6. edition. - Berlin [u. a.] : Springer, 2011. - XIII, 611 p.
    ISBN 978-3-642-21297-0 ISBN 978-3-642-21298-7
    [DOI]

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    5. edition. - Berlin [u. a.] : Springer, 2008. - IX, 583 p.
    ISBN 978-3-540-77340-5 ISBN 978-3-540-77341-2
    [DOI]

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    4. edition. - Berlin [u. a.] : Springer, 2005. - XIV, 566 p.
    (Universitext)
    ISBN 3-540-25907-7 ISBN 978-3-540-25907-7 ISBN 978-3-540-28891-6 ISBN 3-540-25907-4
    [DOI]

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    3. edition. - Berlin [u. a.] : Springer, 2002. - XIII, 532 p.
    (Universitext)
    ISBN 3-540-42627-2

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    2. edition. - Berlin [u. a.] : Springer, 1998. - XIII, 455 p.
    (Universitext)
    ISBN 3-540-63654-4

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    Berlin [u. a.] : Springer, 1995. - XI, 401 p.
    (Universitext)
    ISBN 3-540-57113-2 ISBN 0-387-57113-2

  • Jost, Jürgen: Riemannian geometry and geometric analysis
    4. edition. - Bejing : World Books Pub. Corp., 2008. - XIV, 566 p.
    (Universitext)
    ISBN 978-7-5062-9192-7 ISBN 7-5062-9192-4

Han, XiaoLi ; Jost, Jürgen ; Liu, Lei and Liang Zhao: Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces
In: Calculus of variations and partial differential equations, 56 (2017) 6, 175
MIS-Preprint: 31/2017 [DOI]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow
In: Calculus of variations and partial differential equations, 56 (2017) 4, 108
MIS-Preprint: 65/2016 [DOI]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: A global weak solution of the Dirac-harmonic map flow
In: Annales de l'Institut Henri Poincaré / C, 34 (2017) 7, p. 1851-1882
MIS-Preprint: 1/2016 [DOI]

Chen, Qun ; Jost, Jürgen ; Sun, Linlin and Miaomiao Zhu: Dirac-geodesics and their heat flows
In: Calculus of variations and partial differential equations, 54 (2015) 3, p. 2615-2635
MIS-Preprint: 30/2015 [DOI]

Jost, Jürgen ; Yang, Yi-Hu and Kang Zuo: Harmonic maps and singularities of period mappings
In: Proceedings of the American Mathematical Society, 143 (2015) 8, p. 3351-3356
MIS-Preprint: 90/2014 [DOI]

Chen, Qun ; Jost, Jürgen and Guofang Wang: A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry
In: The journal of geometric analysis, 25 (2015) 4, p. 2407-2426
MIS-Preprint: 68/2014 [DOI]

Chen, Qun ; Jost, Jürgen and Hongbing Qiu: Omori-Yau maximum principles, \(V\)-harmonic maps and their geometric applications
In: Annals of global analysis and geometry, 46 (2014) 3, p. 259-279
MIS-Preprint: 67/2014 [DOI]

Chen, Qun ; Jost, Jürgen and Linlin Sun: Gradient estimates and Liouville theorems for Dirac-harmonic maps
In: Journal of geometry and physics, 76 (2014), p. 66-78
MIS-Preprint: 66/2014 [DOI]

Chen, Qun ; Jost, Jürgen ; Wang, Guofang and Miaomiao Zhu: The boundary value problem for Dirac-harmonic maps
In: Journal of the European Mathematical Society, 15 (2013) 3, p. 997-1031
MIS-Preprint: 69/2011 [DOI]

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The Gauss map of entire maps of higher codimension and the Bernstein type theorems
In: Calculus of variations and partial differential equations, 47 (2013) 3/4, p. 711-737
[DOI] [ARXIV]

Jost, Jürgen ; Mo, Xiaohuan and Miaomiao Zhu: An example of Dirac-harmonic maps from a surface
Chen, Qun ; Jost, Jürgen and Hongbing Qiu: Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds
In: Annals of global analysis and geometry, 42 (2012) 4, p. 565-584
MIS-Preprint: 75/2014 [DOI]

Chen, Qun ; Jost, Jürgen and Guofang Wang: The maximum principle and the Dirichlet problem for Dirac-harmonic maps
In: Calculus of variations and partial differential equations, 47 (2012) 1/2, p. 87-116
MIS-Preprint: 18/2012 [DOI]

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The regularity of harmonic maps into spheres and applications to Bernstein problems
In: Journal of differential geometry, 90 (2012) 1, p. 131-176
MIS-Preprint: 78/2009 [DOI]

Jost, Jürgen and Fatma Muazzez Simsir: Non-divergence harmonic maps
In: Harmonic maps and differential geometry / E. Loubeau... (eds.)
Providence, RI : American Mathematical Society, 2011. - P. 231-238
Jost, Jürgen and Fatma Muazzez Simsir: Affine harmonic maps
In: Analysis, 29 (2009) 2, p. 185-197
[DOI]

Jost, Jürgen ; Mo, Xiaohuan and Miaomiao Zhu: Some explicit constructions of Dirac-harmonic maps
In: Journal of geometry and physics, 59 (2009) 11, p. 1512-1527
MIS-Preprint: 51/2009 [DOI]

Jost, Jürgen: Harmonic mappings
In: Handbook of geometric analysis. Vol. 1 / Lizhen Ji... (eds.)
Boston : International Press of Boston, 2008. - P. 147-194
(Advanced lectures in mathematics (International Press) ; 7)

Chen, Qun ; Jost, Jürgen and Guofang Wang: Liouville theorems for Dirac-harmonic maps
In: Journal of mathematical physics, 48 (2007) 11, 113517
MIS-Preprint: 43/2007 [DOI]

Jost, Jürgen and Leonard Todjihounde: Harmonic nets in metric spaces
In: Pacific journal of mathematics, 231 (2007) 2, p. 437-444
[DOI]

Chen, Qun ; Jost, Jürgen ; Li, Jiayu and Guofang Wang: Dirac-harmonic maps
In: Mathematische Zeitschrift, 254 (2006) 2, p. 409-432
MIS-Preprint: 83/2004 [DOI]

Jost, Jürgen ; Yang, Yi-Hu and Kang Zuo: Cohomologies of unipotent harmonic bundles over quasi-projective varieties I : the case of noncompact curves
MIS-Preprint: 46/2005 [ARXIV]

Chen, Qun ; Jost, Jürgen ; Li, Jiayu and Guofang Wang: Regularity theorems and energy identities for Dirac-harmonic maps
In: Mathematische Zeitschrift, 251 (2005) 1, p. 61-84
MIS-Preprint: 77/2004 [DOI]

Jost, Jürgen and Yi-Hu Yang: Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces
In: Mathematical research letters, 12 (2005) 4, p. 513-529
MIS-Preprint: 104/2003 [DOI] [ARXIV]

Han, XiaoLi and Jürgen Jost: Dirac-wave maps
MIS-Preprint: 44/2004

Jost, Jürgen and Kang Zuo: Harmonic maps into Bruhat-Tits buildings and factorizations of p-adically unbounded representations of \(\pi_{1}\) of algebraic varieties. Pt. 1
In: Journal of algebraic geometry, 9 (2000) 1, p. 1-42
Jost, Jürgen and Yuan-Long Xin: Bernstein type theorems for higher codimension
In: Calculus of variations and partial differential equations, 9 (1999) 4, p. 277-296
MIS-Preprint: 40/1998 [DOI]

Jost, Jürgen: Nonlinear Dirichlet forms
In: New directions in Dirichlet forms / Jürgen Jost... (eds.)
Providence, RI : American Mathemtical Society [u. a.], 1998. - P. 1-47
(AMS/IP studies in advanced mathematics)
[FREELINK]

Jost, Jürgen and Chao-Jiang Xu: Subelliptic harmonic maps
In: Transactions of the American Mathematical Society, 350 (1998) 11, p. 4633-4649
[DOI]

Jost, Jürgen: Generalized Dirichlet forms and harmonic maps
In: Calculus of variations and partial differential equations, 5 (1997) 1, p. 1-19
[DOI]

Jost, Jürgen and Kang Zuo: Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties
In: Journal of differential geometry, 47 (1997) 3, p. 469-503
[DOI]

Jost, Jürgen and Shing-Tung Yau: Harmonic maps and superrigidity
In: Tsing Hua lectures on geometry and analysis : Taiwan, 1990-91 / Shing-Tung Yau (ed.)
Cambridge, Mass. : International Press, 1997. - P. 213-246
Jost, Jürgen and Jiayu Li: Finite energy and totally geodesic maps from locally symmetric spaces of finite volume
In: Calculus of variations and partial differential equations, 4 (1996) 5, p. 409-420
[DOI]

Jost, Jürgen: Generalized harmonic maps between metric spaces
In: Geometric analysis and the calculus of variations : for Stefan Hildebrandt / Jürgen Jost (ed.)
Cambridge, Mass. : International Press, 1996. - P. 143-174
Jost, Jürgen: Convex functionals and generalized harmonic maps into spaces of non positive curvature
In: Commentarii mathematici Helvetici, 70 (1995) 1, p. 659-673
[DOI]

Jost, Jürgen: Equilibrium maps between metric spaces
In: Calculus of variations and partial differential equations, 2 (1994) 2, p. 173-204
[DOI]

Jost, Jürgen and Shing-Tung Yau: A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
In: Acta mathematica, 170 (1993) 2, p. 221-254
[DOI]

Jost, Jürgen (ed.): Nonlinear methods in Riemannian and Kählerian geometry : delivered at the German Mathematical Society seminar in Düsseldorf in June, 1986
Revised 2. edition. - Basel [u. a.] : Birkhäuser, 1991
(DMV Seminar ; 10)
ISBN 3-7643-2685-9 ISBN 0-8176-2685-9

  • Jost, Jürgen (ed.): Nonlinear methods in Riemannian and Kählerian geometry : delivered at the German Mathematical Society seminar in Düsseldorf in June, 1986
    Basel [u. a.] : Birkhäuser, 1988
    (DMV Seminar ; 10)
    ISBN 3-7643-1920-8

Jost, Jürgen: Harmonic maps and curvature computations in Teichmüller theory
In: Annales Academiae Scientiarum Fennicae / Mathematica, 16 (1991) 1, p. 13-46
Jost, Jürgen and Shing-Tung Yau: Harmonic maps and group representations
In: Differential geometry : a symposium in honour of Manfredo do Carmo / H. Blaine Lawson... (eds.)
Harlow : Longman Scientific & Technical, 1991. - P. 241-259
Jost, Jürgen: Harmonic maps : analytic theory and geometric significance
In: Partial differential equations and calculus of variations / Stefan Hildebrandt... (eds.)
Berlin [u. a.] : Springer, 1988. - P. 264-296
(Lecture notes in mathematics ; 1357)
[DOI]

Jost, Jürgen: Strings with boundary : a quantization of Plateau's problem
Jost, Jürgen: The geometric calculus of variations : a short survey and a list of open problems
In: Expositiones mathematicae, 6 (1988) 2, p. 111-143
Jost, Jürgen: Two-dimensional geometric variational problems
In: Proceedings of the International Congress of Mathematicians : August 3 - 11, 1986, Berkeley, California, USA, Vol. 2 / Andrew M. Gleason (ed.)
Providence, RI : American Mathematical Society, 1987. - P. 1094-1100
Gulliver, Robert and Jürgen Jost: Harmonic maps which solve a free-boundary problem
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 381 (1987), p. 61-89
[DOI]

Jost, Jürgen: On the existence of harmonic maps from a surface into the real projective plane
In: Compositio mathematica, 59 (1986) 1, p. 15-19
[FREELINK]

Jost, Jürgen: Lectures on harmonic maps : with applications to conformal mappings and minimal surfaces
In: Harmonic mappings and minimal immersions : lectures given at the 1st 1984 session of the Centro Internationale Matematico Estivo (C.I.M.E.) held at Montecatini, Italy, June 24 - July 3, 1984 / E. Giusti (ed.)
Berlin [u. a.] : Springer, 1985. - P. 118-192
(Lecture notes in mathematics ; 1161)
[DOI]

Jost, Jürgen: A note on harmonic maps between surfaces
In: Annales de l'Institut Henri Poincaré / C, 2 (1985) 6, p. 397-405
[FREELINK]

Jost, Jürgen: Harmonic maps between surfaces : with a special chapter on conformal mappings
Berlin [u. a.] : Springer, 1984. - X, 133 p.
(Lecture notes in mathematics ; 1062)
ISBN 3-540-13339-9 ISBN 0-387-13339-9
[DOI]

Jost, Jürgen: Globale Variationsmethoden in der Theorie der harmonischen und konformen Abbildungen in zwei Dimensionen nebst Anwendungen auf Minimalflächen
Habilitation, Universität Bonn, 1984
Jost, Jürgen: A conformally invariant variational problem for mappings between Riemannian manifolds
In: Research report / the Australian National University, Centre for Mathematical Analysis at Canberra, 1984 (1984) 6, CMA-R06-84
Jost, Jürgen: The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values
In: Journal of differential geometry, 19 (1984) 2, p. 393-401
[DOI]

Jost, Jürgen and Hermann Karcher: Almost linear functions and a-priori estimates for harmonic maps
In: Global Riemannian geometry : proceedings of the symposium held at the University of Durham, July 1983 / T. J. Willmore... (eds.)
Chichester : Ellis Horwood [u. a.], 1984. - P. 148-155
Jost, Jürgen (ed.): Harmonic mappings between Riemannian manifolds : proceedings of the Centre for Mathematical Analysis, Australian National University, Vol. 4
Canberra : Centre for Mathematical Analysis, Australian National University, 1983. - VI, 177 p.
ISBN 0-86784-403-5

Jost, Jürgen and Michael Meier: Boundary regularity for minima of certain quadratic functionals
In: Mathematische Annalen, 262 (1983) 4, p. 549-561
[DOI]

Jost, Jürgen: Existence proofs for harmonic mappings with the help of a maximum principle
In: Mathematische Zeitschrift, 184 (1983) 4, p. 489-496
[DOI]

Jost, Jürgen and Hermann Karcher: Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen
In: Manuscripta mathematica, 40 (1982) 1, p. 27-77
[DOI]

Jost, Jürgen and Richard Schoen: On the existence of harmonic diffeomorphisms between surfaces
In: Inventiones mathematicae, 66 (1982) 2, p. 353-359
[DOI]

Jost, Jürgen: A maximum principle for harmonic mappings which solve a Dirichlet problem
In: Manuscripta mathematica, 38 (1982) 1, p. 129-130
[DOI]

Jost, Jürgen: Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses
In: Manuscripta mathematica, 34 (1981) 1, p. 17-25
[DOI]

Jost, Jürgen: Univalency of harmonic mappings between surfaces
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 324 (1981), p. 141-153
[DOI]

Jost, Jürgen: Eineindeutigkeit harmonischer Abbildungen
Dissertation, Universität Bonn, 1980
(Bonner mathematische Schriften ; 129)

Jost, Jürgen: Eine geometrische Bemerkung zu Sätzen über harmonische Abbildungen, die ein Dirichletproblem lösen
In: Manuscripta mathematica, 32 (1980) 1/2, p. 51-57
[DOI]

Hildebrandt, Stefan ; Jost, Jürgen and K.-O. Widman: Harmonic mappings and minimal submanifolds
In: Inventiones mathematicae, 62 (1980) 2, p. 269-298
[DOI]

3. Minimal surfaces and submanifolds

Topics

  • Minimal surfaces of varying topological type
  • free boundary problems
  • unstable minimal surfaces
  • minimal varifolds
  • Bernstein theorems
Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: A spherical Bernstein theorem for minimal submanifolds of higher codimension
In: Calculus of variations and partial differential equations, 57 (2018) 6, 166
[DOI] [ARXIV]

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: Submanifolds with constant Jordan angles and rigidity of the Lawson-Osserman cone
In: The Asian journal of mathematics, 22 (2018) 1, p. 75-110
[DOI] [ARXIV]

Ding, Qi ; Jost, Jürgen and Yuan-Long Xin: Existence and non-existence of minimal graphs
Ding, Qi ; Jost, Jürgen and Yuan-Long Xin: Boundary regularity for minimal graphs and mean curvature flows with higher codimension
Bauer, Frank ; Hua, Bobo ; Jost, Jürgen ; Liu, Shiping and Guofang Wang: The geometric meaning of curvature : local and nonlocal aspects of Ricci curvature
In: Modern approaches to discrete curvature / Laurent Najman... (eds.)
Cham : Springer, 2017. - P. 1-62
(Lecture notes in mathematics ; 2184)
[DOI]

Ding, Qi ; Jost, Jürgen and Yuan-Long Xin: Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature
In: American journal of mathematics, 138 (2016) 2, p. 287-327
MIS-Preprint: 26/2014 [DOI] [ARXIV]

Ding, Qi ; Jost, Jürgen and Yuan-Long Xin: Minimal graphic functions on manifolds of nonnegative Ricci curvature
In: Communications on pure and applied mathematics, 69 (2016) 2, p. 323-371
MIS-Preprint: 27/2014 [DOI] [ARXIV]

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: Curvature estimates for minimal submanifolds of higher codimension and small G-rank
In: Transactions of the American Mathematical Society, 367 (2015) 12, p. 8301-8323
[DOI] [ARXIV]

Eschenburg, Jost-Hinrich and Jürgen Jost: Differentialgeometrie und Minimalflächen
3., aktualisierte Auflage. - Berlin : Springer, 2014. - XV, 258 p.
ISBN 978-3-642-38521-6 ISBN 978-3-642-38522-3
[DOI]

  • Jost, Jürgen and Jost-Hinrich Eschenburg: Differentialgeometrie und Minimalflächen
    2., vollständig überarbeitete und erweiterte Auflage. - Berlin : Springer, 2007. - XV, 256 p.
    ISBN 978-3-540-22227-9 ISBN 978-3-540-68293-6
    [DOI]

  • Jost, Jürgen: Differentialgeometrie und Minimalflächen
    Berlin [u. a.] : Springer, 1994. - XII, 151 p.
    ISBN 3-540-56904-9

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The Gauss map of entire maps of higher codimension and the Bernstein type theorems
In: Calculus of variations and partial differential equations, 47 (2013) 3/4, p. 711-737
[DOI] [ARXIV]

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The regularity of harmonic maps into spheres and applications to Bernstein problems
In: Journal of differential geometry, 90 (2012) 1, p. 131-176
MIS-Preprint: 78/2009 [DOI]

Jost, Jürgen: Die Optimierung von Formen und Gestalten
Stuttgart : Hirzel, 2003. - 23 p.
(Sitzungsberichte der Sächsischen Akademie der Wissenschaften zu Leipzig : Mathematisch-Naturwissenschaftliche Klasse ; 129,1)
ISBN 3-7776-1284-7

Jost, Jürgen and Yuan-Long Xin: A Bernstein theorem for special Lagrangian graphs
In: Calculus of variations and partial differential equations, 15 (2002) 3, p. 299-312
MIS-Preprint: 4/2001 [DOI]

Jost, Jürgen and Yuan-Long Xin: Some aspects of the global geometry of entire space-like submanifolds
In: Results in mathematics, 40 (2001) 1-4, p. 233-245
MIS-Preprint: 12/2001

Jost, Jürgen and Yuan-Long Xin: Bernstein type theorems for higher codimension
In: Calculus of variations and partial differential equations, 9 (1999) 4, p. 277-296
MIS-Preprint: 40/1998 [DOI]

Jost, Jürgen: Minimal surfaces and Teichmüller theory
In: Tsing Hua lectures on geometry and analysis : Taiwan, 1990-91 / Shing-Tung Yau (ed.)
Cambridge, Mass. : International Press, 1997. - P. 149-211
Jost, Jürgen: Orientable and nonorientable minimal surfaces
In: World Congress of Nonlinear Analysts '92 : proceedings of the first congress held in Tampa, Florida, August 19 - 26, 1992 / V. Lakshmikantham (ed.)
Berlin : de Gruyter, 1996. - P. 819-826
[FREELINK]

Jost, Jürgen: A weak notion of mean curvature and a generalized mean curvature flow for singular sets
In: Advances in geometric analysis and continuum mechanics : proceedings of a conference held at Stanford University on August 2 - 5, 1993 in honor of the seventieth birthday of Robert Finn / Paul Concus... (eds.)
Cambridge, Mass. : International Press, 1995. - P. 138-144
Jost, Jürgen ; Li-Jost, Xianqing and Xiaowei Peng: Bifurcation of minimal surfaces in Riemannian manifolds
In: Transactions of the American Mathematical Society, 347 (1995) 1, p. 51-62
[FREELINK]

Jost, Jürgen: Unstable solutions of two-dimensional geometric variational problems
In: Differential geometry 1 : partial differential equations on manifolds / Robert Everist Greene... (eds.)
Providence, RI : American Mathematical Society, 1993. - P. 205-244
(Proceedings of symposia in pure mathematics ; 54,1)

Jost, Jürgen and Michael Struwe: Morse-Conley theory for minimal surfaces of varying topological type
In: Inventiones mathematicae, 102 (1990) 1, p. 465-499
[DOI]

Jost, Jürgen: Das Existenzproblem für Minimalflächen
In: Jahresbericht der Deutschen Mathematiker-Vereinigung, 91 (1989) 1, p. 1-32
Jost, Jürgen: Embedded minimal surfaces in manifolds diffeomorphic to the three-dimensional ball or sphere
In: Journal of differential geometry, 30 (1989) 2, p. 555-577
[DOI]

Jost, Jürgen: The geometric calculus of variations : a short survey and a list of open problems
In: Expositiones mathematicae, 6 (1988) 2, p. 111-143
Jost, Jürgen: Embedded minimal disks with a free boundary on a polyhedron in R3
In: Mathematische Zeitschrift, 199 (1988) 3, p. 311-320
[DOI]

Jost, Jürgen: Two-dimensional geometric variational problems
In: Proceedings of the International Congress of Mathematicians : August 3 - 11, 1986, Berkeley, California, USA, Vol. 2 / Andrew M. Gleason (ed.)
Providence, RI : American Mathematical Society, 1987. - P. 1094-1100
Jost, Jürgen: Continuity of minimal surfaces with piecewise smooth free boundaries
In: Mathematische Annalen, 276 (1987) 4, p. 599-614
[DOI]

Jost, Jürgen: On the existence of embedded minimal surfaces of higher genus with free boundaries in Riemannian manifolds
In: Variational methods for free surface interfaces : proceedings of a conference held in Menlo Park, Calif., September 7 - 12, 1985 / Paul Concus... (eds.)
New York, NY : Springer, 1987. - P. 65-75
Jost, Jürgen: Existence results for embedded minimal surfaces of controlled topological type, Pt. 3
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 14 (1987) 1, p. 165-167
[FREELINK]

Jost, Jürgen: On the regularity of minimal surfaces with free boundaries in Riemannian manifolds
In: Manuscripta mathematica, 56 (1986) 3, p. 279-291
[DOI]

Jost, Jürgen: Existence results for embedded minimal surfaces of controlled topological type, Pt. 2
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 13 (1986) 3, p. 401-426
[FREELINK]

Jost, Jürgen: Existence results for embedded minimal surfaces of controlled topological type, Pt. 1
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 13 (1986) 1, p. 15-50
[FREELINK]

Grüter, Michael and Jürgen Jost: On embedded minimal disks in convex bodies
In: Annales de l'Institut Henri Poincaré / C, 3 (1986) 5, p. 345-390
[FREELINK]

Grüter, Michael and Jürgen Jost: Allard type regularity results for varifolds with free boundaries
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 13 (1986) 1, p. 129-169
[FREELINK]

Jost, Jürgen: Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 359 (1985), p. 37-54
[DOI]

Hildebrandt, Stefan ; Jost, Jürgen and K.-O. Widman: Harmonic mappings and minimal submanifolds
In: Inventiones mathematicae, 62 (1980) 2, p. 269-298
[DOI]

4. Kähler and algebraic geometry; group representations, nonabelian Hodge theory; Teichmüller theory and moduli spaces

Topics

  • Rigidity results for Kähler manifolds and group representations
  • Margulis type superrigidity and generalizations
  • harmonic mappings between noncompact varieties
  • curvature of moduli spaces
  • harmonic map techniques
  • applications for generalized harmonic maps
Jost, Jürgen and Walter Wenzel: Geometric algebra for sets with betweenness relations
In: Beiträge zur Algebra und Geometrie, Vol. not yet known, pp. not yet known
[DOI]

Ciaglia, Florio M. ; Jost, Jürgen and Lorenz J. Schwachhöfer: What Lie algebras can tell us about Jordan algebras
MIS-Preprint: 30/2021 [ARXIV]

Joharinad, Parvaneh and Jürgen Jost: Topological representation of the geometry of metric spaces
Ji, Lizhen and Jürgen Jost: Universal moduli spaces of Riemann surfaces
In: Journal of geometry and physics, 114 (2017), p. 124-137
[DOI] [ARXIV]

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The geometry of Grassmannian manifolds and Bernstein-type theorems for higher codimension
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 16 (2016) 1, p. 1-39
[DOI] [ARXIV]

Jost, Jürgen and Shing-Tung Yau: Harmonic mappings and moduli spaces of Riemann surfaces
In: Geometry of Riemann surfaces and their moduli spaces / Lizhen Ji... (eds.)
Somerville, Mass. : International Press, 2009. - P. 171-196
(Surveys in differential geometry ; 14)

Jost, Jürgen ; Yang, Yi-Hu and Kang Zuo: Harmonic metrics on unipotent bundles over quasi-compact Kähler manifolds
MIS-Preprint: 68/2009 [ARXIV]

Jost, Jürgen ; Yang, Yi-Hu and Kang Zuo: Cohomologies of harmonic bundles on quasi-compact Kähler manifolds
Jost, Jürgen ; Yang, Yi-Hu and Kang Zuo: Cohomologies of unipotent harmonic bundles over noncompact curves
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 609 (2007), p. 137-159
MIS-Preprint: 70/2006 [DOI]

Jost, Jürgen ; Yang, Yi-Hu and Kang Zuo: The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold
In: Journal of algebraic geometry, 16 (2007) 3, p. 401-434
MIS-Preprint: 105/2003

Jost, Jürgen and Yuan-Long Xin: The first \({L^2}\)-Betti number of certain homogeneous spaces, including classifying spaces for variations of Hodge structures
In: Mathematische Zeitschrift, 249 (2005) 4, p. 817-828
MIS-Preprint: 98/2003 [DOI] [ARXIV]

Jost, Jürgen and Yi-Hu Yang: Kähler manifolds and fundamental groups of negatively delta-pinched manifolds
In: International journal of mathematics, 15 (2004) 2, p. 151-167
MIS-Preprint: 103/2003 [DOI]

Jost, Jürgen and Kang Zuo: Arakelov type inequalities for Hodge bundles over algebraic varieties. Pt. I. Hodge bundles over algebraic curves
In: Journal of algebraic geometry, 11 (2002) 3, p. 535-546
MIS-Preprint: 13/2000

Jost, Jürgen and Kang Zuo: Representations of fundamental groups of algebraic manifolds and their restrictions to fibers of a fibration
In: Mathematical research letters, 8 (2001) 4, p. 569-575
MIS-Preprint: 75/2000 [DOI] [ARXIV]

Jost, Jürgen ; Li, Jiayu and Kang Zuo: Harmonic bundles on quasi-compact Kähler manifolds
MIS-Preprint: 55/2001 [ARXIV]

Jost, Jürgen and Yuan-Long Xin: Vanishing theorems for \({L^2}\)-cohomology groups
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 525 (2000), p. 95-112
MIS-Preprint: 43/1997 [DOI]

Jost, Jürgen and Kang Zuo: Vanishing theorems for \({L^2}\)-cohomology on infinite coverings of compact Kähler manifolds and applications in algebraic geometry
In: Communications in analysis and geometry, 8 (2000) 1, p. 1-30
MIS-Preprint: 70/1998 [DOI]

Jost, Jürgen and Shing-Tung Yau: Harmonic maps and rigidity theorems for spaces of nonpositive curvature
In: Communications in analysis and geometry, 7 (1999) 4, p. 681-694
[DOI]

Habermann, Lutz and Jürgen Jost: Metrics of Riemann surfaces and the geometry of moduli spaces
In: Geometric theory of singular phenomena in partial differential equations : Cortona 1995 / Jean Pierre Bourguignon... (eds.)
Cambridge : Cambridge University Press, 1998. - P. 53-70
(Symposia mathematica ; 38)

Jost, Jürgen and Kang Zuo: Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties
In: Journal of differential geometry, 47 (1997) 3, p. 469-503
[DOI]

Habermann, Lutz and Jürgen Jost: Riemannian metrics on Teichmüller space
In: Manuscripta mathematica, 89 (1996) 1, p. 281-306
[DOI]

Jost, Jürgen and Kang Zuo: Harmonic maps and Sl(r,C) representations of fundamental groups of quasiprojective manifolds
In: Journal of algebraic geometry, 5 (1996) 1, p. 77-106
Jost, Jürgen and Kang Zuo: Harmonic maps of infinite energy and rigidity results for quasiprojective varieties
In: Mathematical research letters, 1 (1994) 6, p. 631-638
[DOI]

Jost, Jürgen and Shing-Tung Yau: Applications of quasilinear PDE to algebraic geometry and arithmetic lattices
In: Algebraic geometry and related Topics / Jae-Hyun Yang... (eds.)
Cambridge, Mass. : International Press, 1993. - P. 169-193
(Conference proceedings and lecture notes in algebraic geometry ; 1)

Jost, Jürgen and Shing-Tung Yau: Harmonic maps and superrigidity
In: Differential geometry 1 : partial differential equations on manifolds / Robert Everist Greene... (eds.)
Providence, RI : American Mathematical Society, 1993. - P. 245-280
(Proceedings of symposia in pure mathematics ; 54,1)

Jost, Jürgen and Shing-Tung Yau: A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
In: Acta mathematica, 170 (1993) 2, p. 221-254
[DOI]

Jost, Jürgen and Shing-Tung Yau: Harmonic mappings and algebraic varieties over function fields
In: American journal of mathematics, 115 (1993) 6, p. 1197-1227
[FREELINK]

Jost, Jürgen: Group actions, gauge transformations, and the calculus of variations
In: Mathematische Annalen, 293 (1992) 1, p. 595-621
[DOI]

Jost, Jürgen and Shing-Tung Yau: Harmonic maps and Kähler geometry
In: Prospects in complex geometry : proceedings of the 25th Taniguchi International Symposium, held in Katata, and the Conference, held in Kyoto, July 31 - August 9, 1989 / J. Noguchi... (eds.)
Berlin [u. a.] : Springer, 1991. - P. 340-370
(Lecture notes in mathematics ; 1468)
[DOI]

Jost, Jürgen and Xiaowei Peng: The geometry of moduli spaces of stable vector bundles over Riemann surfaces
In: Global differential geometry and global analysis : proceedings of a conference held in Berlin, 15 - 20 June, 1990 / Dirk Ferus... (eds.)
Berlin [u. a.] : Springer, 1991. - P. 79-96
(Lecture notes in mathematics ; 1481)
[DOI]

Jost, Jürgen: Harmonic maps and curvature computations in Teichmüller theory
In: Annales Academiae Scientiarum Fennicae / Mathematica, 16 (1991) 1, p. 13-46
Jost, Jürgen and Shing-Tung Yau: Harmonic maps and group representations
In: Differential geometry : a symposium in honour of Manfredo do Carmo / H. Blaine Lawson... (eds.)
Harlow : Longman Scientific & Technical, 1991. - P. 241-259
Jost, Jürgen and Shing-Tung Yau: On the rigidity of certain discrete groups and algebraic varieties
In: Mathematische Annalen, 278 (1987) 1-4, p. 481-496
[DOI]

Jost, Jürgen and Shing-Tung Yau: The strong rigidity of locally symmetric complex manifolds of rank one and finite volume
In: Mathematische Annalen, 275 (1986) 2, p. 291-304
[DOI]

Jost, Jürgen and Shing-Tung Yau: A strong rigidity theorem for a certain class of compact complex analytic surfaces
In: Mathematische Annalen, 271 (1985) 1, p. 143-152
[DOI]

Jost, Jürgen and Shing-Tung Yau: Harmonic mappings and Kähler manifolds
In: Mathematische Annalen, 262 (1983) 2, p. 145-166
[DOI]

5. Variational problems from quantum fi eld theory and other areas of theoretical physics

Topics

  • Ginzburg-Landau
  • Chern-Simons-Higgs
  • Seiberg-Witten
  • nonlinear supersymmetric sigma model
  • super Liouville
  • Dirac-harmonic
Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Energy identity and necklessness for a nonlinear supersymmetric sigma model
In: Calculus of variations and partial differential equations, 61 (2022) 3, 112
[DOI]

Jost, Jürgen ; Keßler, Enno ; Wu, Ruijun and Miaomiao Zhu: Geometric analysis of the Yang-Mills-Higgs-Dirac model
In: Journal of geometry and physics, 182 (2022), 104669
[DOI] [ARXIV]

Jost, Jürgen ; Zhou, Chunqin and Miaomiao Zhu: Energy quantization for a singular super-Liouville boundary value problem
In: Mathematische Annalen, 381 (2021) 1-2, p. 905-969
MIS-Preprint: 80/2019 [DOI] [ARXIV]

Ciaglia, Florio M. ; Jost, Jürgen and Lorenz J. Schwachhöfer: Differential geometric aspects of parametric estimation theory for states on finite-dimensional \(C^{\star}\)-algebras
In: Entropy, 22 (2020) 11, 1332
MIS-Preprint: 100/2020 [DOI] [ARXIV] [FREELINK]

Ciaglia, Florio M. ; Jost, Jürgen and Lorenz J. Schwachhöfer: From the Jordan product to Riemannian geometries on classical and quantum states
In: Entropy, 22 (2020) 6, 637
[DOI] [ARXIV]

Ciaglia, Florio M. ; Ibort, Alberto ; Jost, Jürgen and Giuseppe Marmo: Manifolds of classical probability distributions and quantum density operators in infinite dimensions
In: Information geometry, 2 (2019) 2, p. 231-271
MIS-Preprint: 45/2019 [DOI] [ARXIV]

Jost, Jürgen ; Keßler, Enno ; Tolksdorf, Jürgen ; Wu, Ruijun and Miaomiao Zhu: From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory : at the interface of theoretical physics, Riemannian geometry and nonlinear analysis
In: Vietnam journal of mathematics, 47 (2019) 1, p. 39-67
MIS-Preprint: 65/2017 [DOI] [ARXIV]

Jost, Jürgen ; Zhou, Chunqin and Miaomiao Zhu: The super-Toda system and bubbling of spinors
In: Journal of functional analysis, 276 (2019) 2, p. 410-446
MIS-Preprint: 63/2017 [DOI] [ARXIV]

Jost, Jürgen ; Wu, Ruijun and Miaomiao Zhu: Energy quantization for a nonlinear sigma model with critical gravitinos
In: Transactions of the American Mathematical Society / B, 6 (2019) 7, p. 215-244
MIS-Preprint: 13/2017 [DOI] [ARXIV]

Jost, Jürgen ; Zhou, Chunqin and Miaomiao Zhu: Vanishing Pohozaev constant and removability of singularities
In: Journal of differential geometry, 111 (2019) 1, p. 91-144
MIS-Preprint: 80/2015 [DOI] [ARXIV]

Chen, Qun ; Jost, Jürgen ; Sun, Linlin and Miaomiao Zhu: Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem
In: Journal of the European Mathematical Society, 21 (2019) 3, p. 665-707
MIS-Preprint: 79/2014 [DOI] [ARXIV]

Jost, Jürgen ; Wu, Ruijun and Miaomiao Zhu: Partial regularity for a nonlinear sigma model with gravitino in higher dimensions
In: Calculus of variations and partial differential equations, 57 (2018) 3, 85
MIS-Preprint: 64/2017 [DOI] [ARXIV]

Jost, Jürgen ; Keßler, Enno ; Tolksdorf, Jürgen ; Wu, Ruijun and Miaomiao Zhu: Symmetries and conservation laws of a nonlinear sigma model with gravitino
In: Journal of geometry and physics, 128 (2018), p. 185-198
MIS-Preprint: 24/2017 [DOI] [ARXIV]

Jost, Jürgen ; Keßler, Enno ; Tolksdorf, Jürgen ; Wu, Ruijun and Miaomiao Zhu: Regularity of solutions of the nonlinear sigma model with gravitino
In: Communications in mathematical physics, 358 (2018) 1, p. 171-197
MIS-Preprint: 68/2016 [DOI] [ARXIV]

Jost, Jürgen ; Wu, Ruijun and Miaomiao Zhu: Coarse regularity of solutions to a nonlinear sigma-model with \(L^p\) gravitino
In: Calculus of variations and partial differential equations, 56 (2017) 6, 154
MIS-Preprint: 6/2017 [DOI] [ARXIV]

Jost, Jürgen ; Keßler, Enno and Jürgen Tolksdorf: Super Riemann surfaces, metrics, and gravitinos
In: Advances in theoretical and mathematical physics, 21 (2017) 5, p. 1161-1187
MIS-Preprint: 115/2014 [DOI] [ARXIV]

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Geometric analysis of the action functional of the nonlinear supersymmetric sigma model
MIS-Preprint: 77/2015

Jost, Jürgen ; Zhou, Chunqin and Miaomiao Zhu: A local estimate for super-Liouville equations on closed Riemann surfaces
In: Calculus of variations and partial differential equations, 53 (2015) 1/2, p. 247-264
MIS-Preprint: 46/2013 [DOI]

Chen, Qun ; Jost, Jürgen and Linlin Sun: Gradient estimates and Liouville theorems for Dirac-harmonic maps
In: Journal of geometry and physics, 76 (2014), p. 66-78
MIS-Preprint: 66/2014 [DOI]

Jost, Jürgen ; Zhou, Chunqin and Miaomiao Zhu: The qualitative boundary behavior of blow-up solutions of the super-Liouville equations
In: Journal de mathématiques pures et appliquées, 101 (2014) 5, p. 689-715
MIS-Preprint: 63/2013 [DOI]

Jost, Jürgen ; Wang, Guofang ; Zhou, Chunqin and Miaomiao Zhu: The boundary value problem for the Super-Liouville equation
In: Annales de l'Institut Henri Poincaré / C, 31 (2014) 4, p. 685-706
MIS-Preprint: 60/2011 [DOI]

Chen, Qun ; Jost, Jürgen ; Wang, Guofang and Miaomiao Zhu: The boundary value problem for Dirac-harmonic maps
In: Journal of the European Mathematical Society, 15 (2013) 3, p. 997-1031
MIS-Preprint: 69/2011 [DOI]

Chen, Qun ; Jost, Jürgen and Guofang Wang: The supersymmetric non-linear sigma-model
Jost, Jürgen: Geometry and physics
Heidelberg [u. a.] : Springer, 2009. - XIV, 217 p.
ISBN 978-3-642-00541-1 ISBN 978-3-642-00540-4
[DOI]

Jost, Jürgen ; Wang, Guofang ; Zhou, Chunqin and Miaomiao Zhu: Energy identities and blow-up analysis for solutions of the super Liouville equation
In: Journal de mathématiques pures et appliquées, 92 (2009) 3, p. 295-312
MIS-Preprint: 8/2009 [DOI]

Jost, Jürgen ; Wang, Guofang ; Ye, Dong and Chunqin Zhou: The blow up analysis of solutions of the elliptic Sinh-Gordon equation
In: Calculus of variations and partial differential equations, 31 (2008) 2, p. 263-276
[DOI]

Chen, Qun ; Jost, Jürgen and Guofang Wang: Nonlinear Dirac equations on Riemann surfaces
In: Annals of global analysis and geometry, 33 (2008) 3, p. 253-270
MIS-Preprint: 42/2007 [DOI]

Jost, Jürgen ; Wang, Guofang and Chunqin Zhou: Super-Liouville equations on closed Riemann surfaces
In: Communications in partial differential equations, 32 (2007) 7/9, p. 1103-1128
MIS-Preprint: 122/2005 [DOI] [ARXIV]

Jost, Jürgen ; Lin, Changshou and Guofang Wang: Analytic aspects of the Toda system. Pt. 2 : Bubbling behavior and existence of solutions
In: Communications on pure and applied mathematics, 59 (2006) 4, p. 526-558
MIS-Preprint: 45/2005 [DOI] [ARXIV]

Chen, Qun ; Jost, Jürgen ; Li, Jiayu and Guofang Wang: Dirac-harmonic maps
In: Mathematische Zeitschrift, 254 (2006) 2, p. 409-432
MIS-Preprint: 83/2004 [DOI]

Chen, Qun ; Jost, Jürgen ; Li, Jiayu and Guofang Wang: Regularity theorems and energy identities for Dirac-harmonic maps
In: Mathematische Zeitschrift, 251 (2005) 1, p. 61-84
MIS-Preprint: 77/2004 [DOI]

Fei, Shao-Ming ; Jost, Jürgen ; Li-Jost, Xianqing and Guofang Wang: Entanglement of formation for a class of quantum states
In: Physics Letters / A, 310 (2003) 5/6, p. 333-338
MIS-Preprint: 27/2003 [DOI]

Jost, Jürgen and Guofang Wang: Classification of solutions of a Toda system in \(\mathbb{R}^{2}\)
In: International mathematics research notices, 2002 (2002) 6, p. 277-290
MIS-Preprint: 37/2001 [DOI] [ARXIV]

Jost, Jürgen: Bosonic strings : a mathematical treatment
Providence, RI : American Mathematical Society [u. a.], 2001. - XI, 95 p.
(AMS/IP studies in advanced mathematics ; 21)
ISBN 0-8218-2644-1

Jost, Jürgen and Guofang Wang: Analytic aspects of the Toda system. Pt. 1 : A Moser-Trudinger inequality
In: Communications on pure and applied mathematics, 54 (2001) 11, p. 1289-1319
MIS-Preprint: 28/2000 [DOI]

Ding, Weiyue ; Jost, Jürgen ; Li, Jiayu ; Peng, Xiaowei and Guofang Wang: Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials
In: Communications in mathematical physics, 217 (2001) 2, p. 383-407
MIS-Preprint: 45/1998 [DOI]

Jost, Jürgen: Mathematical aspects of bosonic strings
Ding, Weiyue ; Jost, Jürgen ; Li, Jiayu and Guofang Wang: Existence results for mean field equations
In: Annales de l'Institut Henri Poincaré / C, 16 (1999) 5, p. 653-666
MIS-Preprint: 32/1997

Ding, Weiyue ; Jost, Jürgen ; Li, Jiayu and Guofang Wang: Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere
In: Commentarii mathematici Helvetici, 74 (1999) 1, p. 118-142
MIS-Preprint: 27/1998 [DOI]

Ding, Weiyue ; Jost, Jürgen ; Li, Jiayu and Guofang Wang: An analysis of the two-vortex case in the Chern-Simons Higgs model
In: Calculus of variations and partial differential equations, 7 (1998) 1, p. 87-97
MIS-Preprint: 27/1997 [DOI] [ARXIV]

Ding, Weiyue ; Jost, Jürgen ; Li, Jiayu and Guofang Wang: The differential equation \( \Delta u = 8 \pi - 8 \pi h e^{u} \) on a compact Riemann surface
In: The Asian journal of mathematics, 1 (1997) 2, p. 230-248
MIS-Preprint: 24/1997 [DOI] [ARXIV]

Hong, Min-Chun ; Jost, Jürgen and Michael Struwe: Asymptotic limits of a Ginzburg-Landau type functional
In: Geometric analysis and the calculus of variations : for Stefan Hildebrandt / Jürgen Jost (ed.)
Cambridge, Mass. : International Press, 1996. - P. 99-123
Jost, Jürgen ; Peng, Xiaowei and Guofang Wang: Variational aspects of the Seiberg-Witten functional
In: Calculus of variations and partial differential equations, 4 (1996) 3, p. 205-218
[DOI]

6. Information geometry

Ciaglia, Florio M. ; Di Nocera, Fabio ; Jost, Jürgen and Lorenz J. Schwachhöfer: Parametric models and information geometry on W*-algebras
In: Information geometry, Vol. not yet known, pp. not yet known
[DOI] [ARXIV]

Joharinad, Parvaneh and Jürgen Jost: Geometry of data
Ay, Nihat ; Jost, Jürgen ; Lê, Hông Vân and Lorenz J. Schwachhöfer: Information geometry
Cham : Springer, 2017. - XI, 407 p.
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A series of modern surveys in mathematics ; 64)
ISBN 978-3-319-56477-7 ISBN 978-3-319-56478-4
[DOI]

Jost, Jürgen ; Lê, Hông Vân and Lorenz J. Schwachhöfer: The Cramér-Rao inequality on singular statistical models
In: Geometric science of information : Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, proceedings / Frank Nielsen... (eds.)
Cham : Springer, 2017. - P. 552-560
(Lecture notes in computer science ; 10589)
[DOI] [ARXIV]

Schwachhöfer, Lorenz J. ; Ay, Nihat ; Jost, Jürgen and Hông Vân Lê: Invariant geometric structures on statistical models
In: Geometric science of information : second international conference, GSI 2015, Palaiseau, France, October 28-30, 2015, proceedings / Frank Nielsen... (eds.)
Cham : Springer, 2015. - P. 150-158
(Lecture notes in computer science ; 9389)
[DOI]

Ay, Nihat ; Jost, Jürgen ; Lê, Hông Vân and Lorenz J. Schwachhöfer: Information geometry and sufficient statistics
In: Probability theory and related fields, 162 (2015) 1-2, p. 327-364
MIS-Preprint: 65/2012 [DOI] [ARXIV]

Bertschinger, Nils ; Rauh, Johannes ; Olbrich, Eckehard and Jürgen Jost: Shared information : new insights and problems in decomposing information in complex systems
In: Proceedings of the European Conference on Complex Systems 2012 / Thomas Gilbert... (eds.)
Dordrecht : Springer, 2013. - P. 251-269
(Springer proceedings in complexity)
[DOI] [ARXIV]

Ay, Nihat ; Jost, Jürgen ; Lê, Hông Vân and Lorenz J. Schwachhöfer: A characterization of the Fisher metric and the Amari-Chentsov tensor in information geometry

7. General surveys

Jost, Jürgen: Riemann and the modern concept of space
In: The legacy of Bernhard Riemann after one hundred and fifty years : Volume 1 / Lizhen Ji... (eds.)
Somerville, MA : International Press, 2016. - P. 359-377
(Advanced lectures in mathematics (International Press) ; 35.1)

Jost, Jürgen: The principles and concepts of geometric analysis
In: Shuxue-jinzhan, 32 (2003) 2, p. 129-140
[FREELINK]

Jost, Jürgen: Variational problems from physics and geometry

8. Applications to image analysis

Jin, Yan ; Jost, Jürgen and Guofang Wang: A new nonlocal variational setting for image processing
In: Inverse problems and imaging, 9 (2015) 2, p. 415-430
[DOI]

Jin, Yan ; Jost, Jürgen and Guofang Wang: A new nonlocal \(H^1\) model for image denoising
In: Journal of mathematical imaging and vision, 48 (2014) 1, p. 93-105
[DOI]

Jin, Yan ; Jost, Jürgen and Guofang Wang: A nonlocal version of the Osher-Sole-Vese model
In: Journal of mathematical imaging and vision, 44 (2012) 2, p. 99-113
[DOI]

9. Other

Topics

  • Conformal geometry
  • Green functions
  • ...
Joharinad, Parvaneh ; Jost, Jürgen ; Lim, Sunhyuk and Rostislav Matveev: Reverse Bernstein inequality on the circle
Jost, Jürgen ; Lê, Hông Vân and Tat Dat Tran: Differentiation of measures on complete Riemannian manifolds
Joharinad, Parvaneh and Jürgen Jost: Topology and curvature of metric spaces
In: Advances in mathematics, 356 (2019), 106813
MIS-Preprint: 35/2019 [DOI] [ARXIV]

Luu, Hoang Duc ; Tran, Tat Dat and Jürgen Jost: Ergodicity of scalar stochastic differential equations with Hölder continuous coeffcients
In: Stochastic processes and their applications, 128 (2018) 10, p. 3253-3272
MIS-Preprint: 58/2016 [DOI] [ARXIV]

Bačák, Miroslav ; Hua, Bobo ; Jost, Jürgen ; Kell, Martin and Armin Schikorra: A notion of nonpositive curvature for general metric spaces
In: Differential geometry and its applications, 38 (2015), p. 22-32
MIS-Preprint: 57/2014 [DOI] [ARXIV]

Hua, Bobo ; Jost, Jürgen and Shiping Liu: Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 700 (2015), p. 1-36
MIS-Preprint: 44/2011 [DOI] [ARXIV]

Hua, Bobo and Jürgen Jost: Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature II
In: Transactions of the American Mathematical Society, 367 (2015) 4, p. 2509-2526
[DOI] [ARXIV]

Jost, Jürgen ; Ma, Xi-Nan and Q. Z. Ou: Curvature estimates in dimensions 2 and 3 for the level sets of p-harmonic functions in convex rings
In: Transactions of the American Mathematical Society, 364 (2012) 9, p. 4605-4627
[DOI]

Jost, Jürgen ; Li-Jost, Xianqing ; Wang, Qiaoling and Changyu Xia: Universal bounds for eigenvalues of the polyharmonic operators
In: Transactions of the American Mathematical Society, 363 (2011) 4, p. 1821-1854
[DOI] [ARXIV]

Jost, Jürgen ; Li-Jost, Xianqing ; Wang, Qiaoling and Changyu Xia: Universal inequalities for eigenvalues of the buckling problem of arbitrary order
In: Communications in partial differential equations, 35 (2010) 9, p. 1563-1589
[DOI]

Jost, Jürgen ; Wang, Guofang and Chunqin Zhou: Metrics of constant curvature on a Riemann surface with two corners on the boundary
In: Annales de l'Institut Henri Poincaré / C, 26 (2009) 2, p. 437-456
MIS-Preprint: 45/2007 [DOI] [ARXIV]

Chen, Wenyi and Jürgen Jost: Maps with prescribed tension fields
In: Communications in analysis and geometry, 12 (2004) 1, p. 93-109
MIS-Preprint: 26/2003 [DOI] [ARXIV]

Jost, Jürgen and Moussa Kourouma: A nonlinear eigenvalue problem for mappings between Riemannian manifolds
In: Afrika matematika, 13 (2002) 3, p. 87-109
Chen, Wenyi and Jürgen Jost: A Riemannian version of Korn's inequality
In: Calculus of variations and partial differential equations, 14 (2002) 4, p. 517-530
[DOI]

Habermann, Lutz and Jürgen Jost: Green functions and conformal geometry
In: Journal of differential geometry, 53 (1999) 3, p. 405-443
MIS-Preprint: 4/1997 [DOI]

Habermann, Lutz and Jürgen Jost: Convergence of eigenvalues and Green functions under surgery type degeneration of Riemannian manifolds
In: Calculus of variations and partial differential equations, 5 (1997) 2, p. 137-158
[DOI]

Jost, Jürgen: Vom Experiment zur nichtlinearen Analysis : Seifenfilme, Computerbilder und Minimalflächen
In: Rubin : Wissenschaftsmagazin der Ruhr-Universität Bochum, 2 (1994), p. 12-17
Jost, Jürgen: Buchbesprechnung zu M. Struwe, 'Variational methods'
Jost, Jürgen: A nonparametric proof of the theorem of Lusternik and Schnirelman
In: Archiv der Mathematik, 53 (1989) 5, p. 497-509
[DOI]

Jost, Jürgen: The geometric calculus of variations : a short survey and a list of open problems
In: Expositiones mathematicae, 6 (1988) 2, p. 111-143

10. Edited books

Jost, Jürgen ; Kendall, W. S. ; Mosco, Umberto ; Röckner, Michael and Karl-Theodor Sturm (eds.): New directions in Dirichlet forms
Providence, RI : American Mathemtical Society [u. a.], 1998. - XIV, 277 p.
(AMS/IP studies in advanced mathematics)
ISBN 0-8218-1061-8

Jost, Jürgen (ed.): Geometric analysis and the calculus of variations : for Stefan Hildebrandt
Cambridge, Mass. : International Press, 1996. - 383 p.
ISBN 1-57146-037-3

22.03.2023, 05:51