@incollection{SB_1979-1980__22__174_0,
author = {Lemaire, Luc},
title = {Existence des applications harmoniques et courbure des vari\'et\'es},
booktitle = {S\'eminaire Bourbaki : vol. 1979/80, expos\'es 543-560},
author = {Collectif},
series = {S\'eminaire Bourbaki},
note = {talk:553},
publisher = {Springer-Verlag},
number = {22},
year = {1981},
zbl = {0455.53046},
mrnumber = {636523},
language = {fr},
url = {http://www.numdam.org/item/SB_1979-1980__22__174_0/}
}
TY - CHAP AU - Lemaire, Luc TI - Existence des applications harmoniques et courbure des variétés BT - Séminaire Bourbaki : vol. 1979/80, exposés 543-560 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:553 PY - 1981 DA - 1981/// IS - 22 PB - Springer-Verlag UR - http://www.numdam.org/item/SB_1979-1980__22__174_0/ UR - https://zbmath.org/?q=an%3A0455.53046 UR - https://www.ams.org/mathscinet-getitem?mr=636523 LA - fr ID - SB_1979-1980__22__174_0 ER -
Lemaire, Luc. Existence des applications harmoniques et courbure des variétés, dans Séminaire Bourbaki : vol. 1979/80, exposés 543-560, Séminaire Bourbaki, no. 22 (1981), Exposé no. 553, 22 p. http://www.numdam.org/item/SB_1979-1980__22__174_0/
[1] : Caractérisation de l'espace projectif (conjectures de Hartshorne et de Frankel),Séminaire Bourbaki n° 544 (1979/80). | Numdam | Zbl 0469.14008
[2] and , A report on harmonic maps, Bull. London Math. Soc. 10 (1978) 1-68. | MR 495450 | Zbl 0401.58003
[3] - On the construction of harmonic and holomorphic maps between surfaces, à paraître.
[4] and , Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964) 109-160. | MR 164306 | Zbl 0122.40102
[5] and , Restrictions on harmonic maps of surfaces, Topology 15 (1976) 263-266. | MR 420708 | Zbl 0328.58008
[6] , and , On finite action solutions of the nonlinear σ-model, à paraître.
[7] and , Embedding of open Riemannian manifolds by harmonic functions, Ann. Inst. Fourier 25 (1975) 215-235. | Numdam | MR 382701 | Zbl 0307.31003
[8] , Harmonic maps of manifolds with boundary, Springer Lecture Notes 471 (1975). | MR 482822 | Zbl 0308.35003
[9] , On homotopic harmonic maps, Can. J. Math. 19 (1967) 673-687. | MR 214004 | Zbl 0148.42404
[10] , and , An existence theorem for harmonic mappings of Riemannian manifolds, Acta Math. 138 (1977) 1-16. | MR 433502 | Zbl 0356.53015
[11] , Applications harmoniques de variétés produits, Comm. Math. Helv. 52 (1977) 11-24. | MR 448411 | Zbl 0352.58015
[12] , Applications harmoniques de surfaces riemanniennes J. Diff. Geom. 13 (1978) 51-78. | MR 520601 | Zbl 0388.58003
[13] , Harmonic nonholomorphic maps from a surface to a sphere, Proc. Amer. Math. Soc. 71 (1978) 299-304. | MR 501102 | Zbl 0388.58004
[14] , Applications harmoniques et variétés kählériennes, Symp. Math. III Bologna (1970) 341-402. | MR 262993 | Zbl 0193.50101
[15] - , Variétés kählériennes à première classe de Chern non négative et variétés riemanniennes à courbure de Ricci généralisée non négative, J. Diff. Geom. 6 (1972) 47-94. | MR 300228 | Zbl 0231.53063
[16] , La formule de la variation seconde de l'énergie au voisinage d'une application harmonique, J. Diff. Geom. 8 (1973) 279-296. | MR 336767 | Zbl 0301.53012
[17] , Projective manifolds with ample tangent bundles, à paraître. | Zbl 0423.14006
[18] , The problem of Plateau on a Riemannian manifold, Ann. of Math. 49 (1948) 807-851. | MR 27137 | Zbl 0033.39601
[19] - , Multiple integrals in the calculus of variations, Grundlehren 130, Springer (1966).
[20] and , Minimal varieties and harmonic maps in tori, Comm. Math. Helv. 50 (1975) 249-265. | MR 390974 | Zbl 0326.53055
[21] and , The tension field of the Gauss map, Trans. Amer. Math. Soc. 149 (1970) 569-573. | MR 259768 | Zbl 0199.56102
[22] and , The existence of minimal immersions of two-spheres, Bull. Amer. Math. Soc. 83 (1977) 1033-1036. | MR 448408 | Zbl 0375.49016
[23 ] - , même titre, à paraître.
[24] - , Minimal immersions of compact Riemann surfaces, à paraître.
[25] , Some properties and applications of harmonic mappings, Ann. Ec. Norm. Sup. 11 (1978) 211-228. | Numdam | MR 510549 | Zbl 0392.31009
[26] and , Harmonic maps and the topology of stable hypersurfaces and manifolds of non-negative Ricci curvature, Comm. Math. Helv. 51 (1976) 333-341. | MR 438388 | Zbl 0361.53040
[27] - , Existence of incompressible minimal surfaces and the topology of three-manifolds with non-negative scalar curvature, Ann. of Math. 110 (1979) 127-142. | MR 541332 | Zbl 0431.53051
[28] - , On the proof of the positive mass conjecture in general relativity, Commun. Math. Phys. 65 (1979) 45-76. | MR 526976 | Zbl 0405.53045
[29] - , Compact group actions and the topology of manifolds with non-positive curvature, Topology 18 (1979) 361-380. | MR 551017 | Zbl 0424.58012
[30] , Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds, Proc. Natl. Acad. Sci. U.S.A. 76 (1979) 2107-2108. | MR 530174 | Zbl 0424.53038
[31] - , The complex-analyticity of harmonic maps and the strong rigidity of compact Kähler manifolds, à paraître.
[32] and , Compact Kähler manifolds of positive bisectional curvature, à paraître. | Zbl 0442.53056
[33] , Harmonic mappings of spheres, Amer. J. Math. 97 (1975) 364-385. | MR 391127 | Zbl 0321.57020
[34] - , The second variation formula for harmonic mappings, Proc. Amer. Math. Soc. 47 (1975) 229-236. | MR 375386 | Zbl 0303.58008
[35] , Harmonic maps : a direct method in the calculus of variations, Bull. Amer. Math. Soc. 76 (1970) 1082-1087. | MR 264714 | Zbl 0208.12802
[36] , A note on the fundamental group of a manifold of negative curvature, Math. Proc. Cambridge Phil. Soc. 83 (1978) 415-417. | MR 494252 | Zbl 0374.53017
[37] - , An extension theorem for holomorphic mappings, à paraître.
[38] and : The classical Plateau problem and the topology of three-dimensional manifolds, à paraître. | Zbl 0489.57002
[39] - : Topology of three-dimensional manifolds and the embedding problems in minimal surface theory, à paraître.
