Voir la notice de l'acte provenant de la source
Bérard Bergery, Lionel. La courbure scalaire des variétés riemanniennes, dans Séminaire Bourbaki : vol. 1979/80, exposés 543-560, Séminaire Bourbaki, no. 22 (1981), Exposé no. 556, 21 p.. http://geodesic.mathdoc.fr/item/SB_1979-1980__22__225_0/
@incollection{SB_1979-1980__22__225_0,
author = {B\'erard Bergery, Lionel},
title = {La courbure scalaire des vari\'et\'es riemanniennes},
booktitle = {S\'eminaire Bourbaki : vol. 1979/80, expos\'es 543-560},
series = {S\'eminaire Bourbaki},
note = {talk:556},
pages = {225--245},
year = {1981},
publisher = {Springer-Verlag},
number = {22},
mrnumber = {636526},
zbl = {0461.53023},
language = {fr},
url = {http://geodesic.mathdoc.fr/item/SB_1979-1980__22__225_0/}
}
TY - CHAP AU - Bérard Bergery, Lionel TI - La courbure scalaire des variétés riemanniennes BT - Séminaire Bourbaki : vol. 1979/80, exposés 543-560 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:556 PY - 1981 SP - 225 EP - 245 IS - 22 PB - Springer-Verlag UR - http://geodesic.mathdoc.fr/item/SB_1979-1980__22__225_0/ LA - fr ID - SB_1979-1980__22__225_0 ER -
%0 Book Section %A Bérard Bergery, Lionel %T La courbure scalaire des variétés riemanniennes %B Séminaire Bourbaki : vol. 1979/80, exposés 543-560 %A Collectif %S Séminaire Bourbaki %Z talk:556 %D 1981 %P 225-245 %N 22 %I Springer-Verlag %U http://geodesic.mathdoc.fr/item/SB_1979-1980__22__225_0/ %G fr %F SB_1979-1980__22__225_0
[AS] and - The index of elliptic operators I, Ann.of Math. 87 (1968), 484-530 ; III Ann. of Math. 87 (1968), 546-604 ; IV Ann. of Math. 92 (1970), 119-138 ; V Ann. of Math. 92 (1970), 139-149. | Zbl | MR
[AU1] - Métriques riemanniennes et courbure, J. Diff. Geom. 4 (1970), 383-424. | Zbl | MR
[AU2] - Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire, J. Math. pures et appl. 55 (1976), 269-296. | Zbl | MR
[AU3] - The scalar curvature, in "Differential Geometry and Relativity" (M. Cahen et Flato, Eds), Reidel, Dordrecht (1976), 5-18. | Zbl | MR
[AU4] - Problèmes isopérimétriques et espaces de Sobolev, J. Diff. Geom. 11 (1976), 573-598. | Zbl | MR
[AU5] - Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire, J. Funct. Analysis 32 (1979), 148-174. | Zbl | MR
[AV] - Valeur moyenne du scalaire de courbure sur une variété compacte. Applications relativistes. C.R.A.S. 256 (1963), 5271-5273. | Zbl | MR
[BB] - Sur la courbure des métriques riemanniennes invariantes des groupes de Lie et des espaces homogènes, Annales Sc. Ec. Norm. Sup. Il (1978), 543-576. | Zbl | MR | Numdam
[BE1] - On the conformal equivalence of compact 2-dimensional manifolds, J. Math. Mech. 19 (1969), 13-18. | Zbl | MR
[BE2] - Riemannian structures of prescribed Gaussian curvature for compact 2-manifolds, J. Diff. Geom. 5 (1971), 325-332. | Zbl | MR
[BI] - Régularité des hypersurfaces minimales. Séminaire Bourbaki 21e année 1968/69 - Exposé n° 353 (11 pages). | Zbl | Numdam
[BO1] - Une stratification de l'espace des structures riemanniennes, Compositio Math., 30(1975), 1-41. | Zbl | MR | Numdam
[BO2] - Premières formes de Chern des variétés kählériennes compactes. Séminaire Bourbaki 30e année 1977/78 - Exposé n° 507 (18 pages). | Zbl | Numdam
[CA] Première classe de Chern et courbure de Ricci : preuve de la conjecture de Calabi (Séminaire Palaiseau 1978). Astérisque n° 58. | Zbl
[CG] et - The splitting theorem for manifolds of non negative Ricci curvature. J. Diff. Geom. 6 (1971), 119-128. | Zbl | MR
[EL] - On variations of metrics, Math. Scand. 29 (1971), 317-327. | Zbl | MR
[FM] and - Deformations of the scalar curvature, Duke Math. J. 42 (1975), 519-547. | Zbl | MR
[GK] - The generalized Minkowski problem in diffential geometry in the large, Ann. of Math. 96 (1972), 245-275. | Zbl | MR
[GR] - Stable maps of foliations in manifolds, Izv. Akad. Nauk SSSR, Ser. Mat. Tom 33 (1969), 734 (Math of the USSR - Izvestija 3 (1979) 671). | Zbl | MR
[GL1] and . - Spin and scalar curvature in the presence of a fundamental group I , Ann. of Math. 111(1980), 209-230. | Zbl | MR
[GL2] and - The classification of simply connected manifolds of positive scalar curvature (preprint).
[HH] - Topological methods in algebraic topology, Springer Verlag, Berlin Heidelberg New-York, (1966). | Zbl | MR
[HI] - Harmonic spinors, Adv. in Math. 14 (1974), 1-55. | Zbl | MR
[KW1] and - Integrability conditions for Δu = k-Keαu with applications to Riemannian geometry, Bull. A.M.S. 77 (1971), 819-823. | Zbl
[KW2] and - Curvature functions for 2-manifolds with negative Euler characteristic, Bull. A.M.S. 78 (1972), 570-574. | Zbl | MR
[KW3] and - Surfaces of revolution with monotonic increasing curvature and an application to the equation u = 1-Ke2u on S2, Proceeding A.M.S. 32 (1972), 139-141. | Zbl | MR
[KW4] and - Curvature functions for 2-manifolds, Proc.of Symposia in Pure Math. 23 (1973), 387-392. | Zbl | MR
[KW5] and - Curvature functions for compact 2-manifolds, Ann. of Math. 99 (1974), 14-47. | Zbl | MR
[KW6] and - Curvature functions for open 2-manifolds, Ann. of Math. 99 (1974), 203-219. | Zbl | MR
[KW7] and - Scalar curvature and conformal deformation of Riemannian structure, J. Diff. Geom. 10 (1975), 113-134. | Zbl | MR
[KW8] and - Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures, Ann. of Math. 101 (1975), 317-331. | Zbl | MR
[KW9] and - Prescribing curvatures, Proc. of Symposia in Pure Math. 27 (1975), 309-319. | Zbl | MR
[KW10] and - A direct approach to the determination of Gaussian and scalar curvature function, Inventiones Math. 28 (1975), 227-230. | Zbl | MR
[KO] - On Gaussian curvature and conformal mapping, J. Diff. Geom. 7 (1972), 481-490. | Zbl | MR
[LY] and - Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres, Comm. Math. Helv. 49 (1974), 232-244. | Zbl | MR
[LE] - Existence des applications harmoniques et courbure des variétés, Séminaire Bourbaki 32e année 1979/80 Exposé n° 553 (21 pages). | Zbl | Numdam
[LI] - Spineurs harmoniques, C.R.A.S. 257 A (1963), 7-9. | Zbl | MR
[MI] - Remarks concerning spin manifolds, "Differential geometry and Combinatorial Topology" Princeton University Press (1965), 55-62. | Zbl | MR
[MO1] - A sharp form of an inequality by N. Trudinger, Indiana Univ. Math. J. 20 (1971), 1077-1092. | Zbl | MR
[MO2] - On a nonlinear problem in differential geometry, in Dynamical Systems (M. Peixoto ef.) Academic Press, New York, 1973, 273-280. | Zbl | MR
[ON] - The fundamental equations of a submersion, Mich. Math. J. 13 (1966), 459-469. | Zbl | MR
[SY1] and - Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity, Proc. N.A.S. U.S.A. 75 (1978), 2567. | Zbl | MR
[SY2] and - Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature, Ann. of Math. 110 (1979), 127-142. | Zbl | MR
[SY3] and - On the structure of manifolds with positive scalar curvature, Manuscripta Math. 28 (1979), 159-183. | Zbl | MR
[SY4] and - On the proof of the positive mass conjecture in general relativity, Comm. Math. Phys. 65 (1979), 45-76. | Zbl | MR
[SP] - A comprehensive introduction to differential geometry, Publish or Perish. | Zbl
[TR1] - On imbeddings into Orlicz Spaces and some applications, J. Math. Mech. 17 (1967), 473-483. | Zbl | MR
[TR2] - Remarks concerning the conformal deformation of Riemannian structures on compact manifolds, Ann. Scuola Norm. Sup. Pisa 22 (1968), 265-274. | Zbl | MR | Numdam
[WW] and - Curvature forms for 2-manifolds, Proc. A.M.S. 25 (1970) 712-713. | Zbl | MR
[YA] - On a deformation of Riemannian structures on compact manifolds, Osaka Math. J. 12 (1960), 21-37. | Zbl | MR