
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 analysis6. edition. - Berlin [u. a.] : Springer, 2011. - XIII, 611 p.ISBN 978-3-642-21297-0 ISBN 978-3-642-21298-7[DOI]
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Jost, Jürgen: Riemannian geometry and geometric analysis5. edition. - Berlin [u. a.] : Springer, 2008. - IX, 583 p.ISBN 978-3-540-77340-5 ISBN 978-3-540-77341-2[DOI]
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Jost, Jürgen: Riemannian geometry and geometric analysis4. 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 analysis3. edition. - Berlin [u. a.] : Springer, 2002. - XIII, 532 p.(Universitext)ISBN 3-540-42627-2
-
Jost, Jürgen: Riemannian geometry and geometric analysis2. edition. - Berlin [u. a.] : Springer, 1998. - XIII, 455 p.(Universitext)ISBN 3-540-63654-4
-
Jost, Jürgen: Riemannian geometry and geometric analysisBerlin [u. a.] : Springer, 1995. - XI, 401 p.(Universitext)ISBN 3-540-57113-2 ISBN 0-387-57113-2
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Jost, Jürgen: Riemannian geometry and geometric analysis4. 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 Minimalflächen2., vollständig überarbeitete und erweiterte Auflage. - Berlin : Springer, 2007. - XV, 256 p.ISBN 978-3-540-22227-9 ISBN 978-3-540-68293-6[DOI]
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Jost, Jürgen: Differentialgeometrie und MinimalflächenBerlin [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 equationsSecond 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]
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Jost, Jürgen: Partial differential equationsNew York, NY : Springer, 2002. - XII, 325 p.(Graduate texts in mathematics ; 214)ISBN 0-387-95428-7
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Jost, Jürgen: Partial differential equationsSecond 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 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 variationsCambridge [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 mathematics2. edition. - Berlin : Springer, 2002. - XVI, 278 p.(Universitext)ISBN 3-540-43299-x
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Jost, Jürgen: Compact Riemann surfaces : an introduction to contemporary mathematicsBerlin [u. a.] : Springer, 1997. - XIV, 291 p.(Universitext)ISBN 3-540-53334-6
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Jost, Jürgen: Compact Riemann surfaces : an introduction to contemporary mathematics3. 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 analysis2. edition. - Berlin : Springer, 2003. - XVIII, 367 p.(Universitext)ISBN 3-540-43873-4
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Jost, Jürgen: Postmodern analysisBerlin : Springer, 1998. - XV, 353 p.(Universitext)ISBN 3-540-63485-1
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Jost, Jürgen: Posutomodan kaisekigaku : gensho dai 3-hanThird edition. - Tokyo : Springer, 2009. - XII, 395 p.ISBN 978-4-431-10055-3
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Jost, Jürgen: Posutomodan kaisekigaku = Postmodern analysisJapanese 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
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, 1986Basel [u. a.] : Birkhäuser, 1988(DMV Seminar ; 10)ISBN 3-7643-1920-8
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] 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: From linear to convex
In: Journal of convex analysis, 28 (2021) 2, p. 599-612
[FREELINK] 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: 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 analysis6. 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 analysis5. 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 analysis4. 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 analysis3. edition. - Berlin [u. a.] : Springer, 2002. - XIII, 532 p.(Universitext)ISBN 3-540-42627-2
-
Jost, Jürgen: Riemannian geometry and geometric analysis2. edition. - Berlin [u. a.] : Springer, 1998. - XIII, 455 p.(Universitext)ISBN 3-540-63654-4
-
Jost, Jürgen: Riemannian geometry and geometric analysisBerlin [u. a.] : Springer, 1995. - XI, 401 p.(Universitext)ISBN 3-540-57113-2 ISBN 0-387-57113-2
-
Jost, Jürgen: Riemannian geometry and geometric analysis4. edition. - Bejing : World Books Pub. Corp., 2008. - XIV, 566 p.(Universitext)ISBN 978-7-5062-9192-7 ISBN 7-5062-9192-4
Jost, Jürgen ; Mo, Xiaohuan and Miaomiao Zhu: An example of Dirac-harmonic maps from a surface
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: 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)
Jost, Jürgen and Leonard Todjihounde: Harmonic nets in metric spaces
In: Pacific journal of mathematics, 231 (2007) 2, p. 437-444
[DOI] 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: 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, 1986Basel [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: 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
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] 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 Minimalflächen2., vollständig überarbeitete und erweiterte Auflage. - Berlin : Springer, 2007. - XV, 256 p.ISBN 978-3-540-22227-9 ISBN 978-3-540-68293-6[DOI]
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Jost, Jürgen: Differentialgeometrie und MinimalflächenBerlin [u. a.] : Springer, 1994. - XII, 151 p.ISBN 3-540-56904-9
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: 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: 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.)
[FREELINK] Berlin : de Gruyter, 1996. - P. 819-826
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, 64 (2023) 3, p. 555-579
[DOI] Joharinad, Parvaneh and Jürgen Jost: Topological representation of the geometry of metric spaces
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: Cohomologies of harmonic bundles on quasi-compact Kähler manifolds
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 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 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 field 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] 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] 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
Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Geometric analysis of the action functional of the nonlinear supersymmetric sigma
model
MIS-Preprint: 77/2015
Chen, Qun ; Jost, Jürgen and Guofang Wang: The supersymmetric non-linear sigma-model
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] 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: 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 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
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
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] Bertschinger, Nils ; Rauh, Johannes ; Olbrich, Eckehard and Jürgen Jost: Shared information : new insights and problems in decomposing information in complex
systems
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] 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
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 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 and Moussa Kourouma: A nonlinear eigenvalue problem for mappings between Riemannian manifolds
In: Afrika matematika, 13 (2002) 3, p. 87-109
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
Joharinad, Parvaneh and Jürgen Jost: Mathematical principles of topological and geometric data analysis
Cham : Springer, 2023. - IX, 281 p.
(Mathematics of data ; 2)
ISBN 978-3-031-33439-9 ISBN 978-3-031-33442-9 ISBN 978-3-031-33440-5
[DOI] 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