Jürgen Jost
Publications

Max Planck Institute for Mathematics in the Sciences

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

Fax:
+49 (0) 341 - 9959 - 555

Email

Address:
Inselstr. 22
04103 Leipzig
Germany

Geometry, the calculus of variations and geometric analysis

1. Textbooks and monographs

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: 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. edtion. - 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

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 and Jost-Hinrich Eschenburg: Differentialgeometrie und Minimalflächen
2., totally revised and expanded edition. - Berlin : Springer, 2007. - XV, 256 p.
ISBN 978-3-540-22227-9
[DOI]

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

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
    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

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

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 ; 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
[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, Vol. not yet known, pp. not yet known
MIS-Preprint: 18/2012 [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, Vol. not yet known, pp. not yet known
[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 [FREELINK]

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. edtion. - 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

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
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]

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 [FREELINK]

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
[FREELINK]

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, 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: 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
[FREELINK]

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, 324 (1981), p. 141-153
[DOI]

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]

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

3. Minimal surfaces and submanifolds

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, Vol. not yet known, pp. not yet known
[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 [FREELINK]

Jost, Jürgen and Jost-Hinrich Eschenburg: Differentialgeometrie und Minimalflächen
2., totally revised and expanded edition. - Berlin : Springer, 2007. - XV, 256 p.
ISBN 978-3-540-22227-9
[DOI]

  • Jost, Jürgen: Differentialgeometrie und Minimalflächen
    Berlin [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: 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
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
[FREELINK]

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, 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]

Topics

Minimal surfaces of varying topological type

free boundary problems

unstable minimal surfaces

minimal varifolds

Bernstein theorems

 

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

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The geometry of Grassmannian manifolds and Bernstein type theorems for higher codimension
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, 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 L2-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]

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

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 L2-cohomology groups
In: Journal für die reine und angewandte Mathematik, 525 (2000), p. 95-112
MIS-Preprint: 43/1997 [DOI]

Jost, Jürgen and Kang Zuo: Vanishing theorems for L2-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

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
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
[FREELINK]

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
[FREELINK]

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]

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

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

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]

Zhu, Miaomiao ; Jost, Jürgen and Chunqin Zhou: The qualitative boundary behavior of blow up solutions of the super Liouville equations
Chen, Qun ; Jost, Jürgen and Guofang Wang: The supersymmetric non-linear sigma-model
Jost, Jürgen ; Wang, Guofang ; Zhou, Chunqin and Miaomiao Zhu: The boundary value problem for the Super-Liouville equation
MIS-Preprint: 60/2011

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]

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]

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 R2
In: International mathematics research notices, 2002 (2002) 6, p. 277-290
MIS-Preprint: 37/2001 [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 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]

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

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]

Topics

Ginzburg-Landau

Chern-Simons-Higgs

Seiberg-Witten

nonlinear supersymmetric sigma model

super Liouville

Dirac-harmonic

6. Information geometry

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 ; Le, Hong Van and Lorenz J. Schwachhöfer: Information geometry and sufficient statistics
In: The annals of statistics, Vol. not yet known, pp. not yet known
MIS-Preprint: 65/2012 [ARXIV]

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

7. General surveys

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 nonlocal version of the Osher-Sole-Vese model
In: Journal of mathematical imaging and vision, 44 (2012) 2, p. 99-113
[DOI]

Jin, Yan ; Jost, Jürgen and Guofang Wang: A new nonlocal variational setting for image processing

9. Other

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 ; Liu, Shiping and Bobo Hua: Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature
In: Journal für die reine und angewandte Mathematik, Vol. not yet known, pp. not yet known
MIS-Preprint: 44/2011 [ARXIV]

Hua, Bobo and Jürgen Jost: Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature II
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]

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]

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

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

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

Topics

Conformal geometry

Green functions

...

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

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