Courbure des sommes de métriques

Daniel Meyer

Bulletin de la Société Mathématique de France (1981)

  • Volume: 109, page 123-142
  • ISSN: 0037-9484

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Meyer, Daniel. "Courbure des sommes de métriques." Bulletin de la Société Mathématique de France 109 (1981): 123-142. <http://eudml.org/doc/87389>.

@article{Meyer1981,
author = {Meyer, Daniel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {curvature; sums of metrics},
language = {fre},
pages = {123-142},
publisher = {Société mathématique de France},
title = {Courbure des sommes de métriques},
url = {http://eudml.org/doc/87389},
volume = {109},
year = {1981},
}

TY - JOUR
AU - Meyer, Daniel
TI - Courbure des sommes de métriques
JO - Bulletin de la Société Mathématique de France
PY - 1981
PB - Société mathématique de France
VL - 109
SP - 123
EP - 142
LA - fre
KW - curvature; sums of metrics
UR - http://eudml.org/doc/87389
ER -

References

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  1. [A] AUBIN (T.). — Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire, J. Math pures et appl., vol 55, 1976, p. 269-296. Zbl0336.53033MR55 #4288
  2. [B] BOURBAKI (N.). — Espaces vectoriels topologiques, chap. 1 et 2, Hermann, Paris 1966 ; Éléments de math., fasc. XV. 
  3. [CG] CHEEGER (J.) and GROMOLL (D.). — The splitting theorem for manifolds of nonnegative ricci curvature, J. Diff. geom., vol. 6, 1971, p. 119-128. Zbl0223.53033MR46 #2597
  4. [Ga] GARDNER (R.). — Subscalar pairs of metrics and hypersurfaces with a nondegenerate second fundamental form, J. diff. geom., vol. 1972, p. 437-458. Zbl0248.53049MR48 #9608
  5. [GKM] GROMOLL (D.), KLINGENBERG (W.) and MEYER (W.). — Riemannsche Geometrie im Groȣen, Springer, 1968, lectures notes in maths., n° 55. Zbl0293.53001MR37 #4751
  6. [K] KOBAYASHI (S.). — Hyperbolic manifolds and holomorphic mappings, Marcel Dekker, New York, 1970 ; Pure and applied math., n° 2. Zbl0207.37902MR43 #3503
  7. [KN] KOBAYASHI (S.) and NOMIZU (K.). — Foundations of differential geometry, John Wiley, 1969, Interscience tracts in pure and applied math. Zbl0175.48504MR38 #6501
  8. [KW] KAZDAN (J.) and WARNER (F.). — Scalar curvature and conformal deformations of riemannian structure, J. diff. geom., vol. 10, 1975, p. 113-134. Zbl0296.53037MR51 #1661
  9. [LF] LELONG-FERRAND (J.). — Transformations conformes et quasi conformes des variétés riemanniennes compactes (démonstration de la conjecture de Lichnérowicz), Mém. Acad. Roy. Belg. Cl. Sc. Mém. Coll., In 8°, vol. 39, 1971. Zbl0215.50902MR48 #1100
  10. [Li] LICHNÉROWICZ (A.). — Géométrie des groupes de transformations, Dunod, Paris, 1958, Travaux et recherches mathématiques. Zbl0096.16001MR23 #A1329
  11. [M] MEYER (D.). — Courbure sectionnelle et opérateur de courbure en codimension plus grande que 2, C.R. Acad. Sc. Paris, t. 288, série A, 1979, p. 1029-1032. Zbl0421.53020MR80g:53032
  12. [O1] OBATA (M.). — Conformal transformations of compact riemannian manifolds, Illin. J. math, vol. 6, n°2, 1962, p. 292-295. Zbl0107.15703MR25 #1507
  13. [O2] OBATA (M.). — The conjectures on conformal transformations of riemannian manifolds, J. diff. geom., vol. 6, 1971, p. 247-258. Zbl0236.53042MR46 #2601
  14. [W1] WU (H.). — A remark on holomorphic sectional curvatures, Indiana University, Math. J., Vol. 22, n° 11, 1973, p. 1103-1108. Zbl0265.53055MR47 #4191
  15. [W2] WU (H.). — Normal families of holomorphic mappings, Acta math., vol. 119, 1967, p. 193-233. Zbl0158.33301MR37 #468

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