Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive

M. Berger

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1961)

  • Volume: 15, Issue: 3, page 179-246
  • ISSN: 0391-173X

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Berger, M.. "Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 15.3 (1961): 179-246. <http://eudml.org/doc/83265>.

@article{Berger1961,
author = {Berger, M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Riemannian manifolds},
language = {fre},
number = {3},
pages = {179-246},
publisher = {Scuola normale superiore},
title = {Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive},
url = {http://eudml.org/doc/83265},
volume = {15},
year = {1961},
}

TY - JOUR
AU - Berger, M.
TI - Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1961
PB - Scuola normale superiore
VL - 15
IS - 3
SP - 179
EP - 246
LA - fre
KW - Riemannian manifolds
UR - http://eudml.org/doc/83265
ER -

References

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  1. [1] M. Berger, Variétés riemanniennes à courbure positive (Bull. Soc. math. France, 87, 1959, p. 285-292). Zbl0096.15403MR124018
  2. [2] A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts (Ann. of Math., 57, 1953, pp. 115-207). Zbl0052.40001MR51508
  3. [3] A. Borel, Sur l'homologie et la cohomologie des groupes de Lie compacts connexes (Amer. J. of math., 76, 1954, p. 273-342). Zbl0056.16401MR64056
  4. [4] A. Borel et J. de Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie clos (Comm. Math. Helv., 23, 1949, p. 200-221). Zbl0034.30701MR32659
  5. [5] E. Cartan; Les groupes réels simples finis et continus (Ann. Ecol. Norm., 31, 1914, p. 263-355). Zbl45.1408.03MR1509178JFM45.1238.06
  6. [6] E. Cartan, Sur certaines formes riemanniennes remarquables des géométries à groupe fondamental simple (Ann. Ecol. Norm., 44, 1927, p. 345-467). Zbl53.0393.01MR1509283JFM53.0393.01
  7. [7] S. Helgason; On riemannian curvatuere of homogeneous spaces (Proc. Amer. Math. Soc., 9, 1958, p. 831-838). Zbl0090.12603MR108811
  8. [8] G.A. Hunt, A theorem of E. Cartan (Proc. Amer. Math. Soc., 7, 1956, p. 307-308). Zbl0073.01602MR77075
  9. [9] A. Lichnerowicz, Géométrie des groupes transformations (Paris, Dunod, 1958). Zbl0096.16001MR124009
  10. [10] D. Montgomery et L. Zippin, Topological transformations groups (New York, 1955). Zbl0068.01904MR73104
  11. [11] K. Nomizu, Invariant affine connections on homogeneous spaces (Amer. J. of Math., 76, 1954, p. 33-65). Zbl0059.15805MR59050
  12. [12] H. Samelson, On curvature and characteristic of homogeneous spaces (Michig. Math. J., 5, 1958, p. 13-18). Zbl0084.37407MR103509
  13. [13] Séminaire Sophus LIE, (Secrétariat mathématique, Paris1955). 

Citations in EuDML Documents

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  1. Jean-Pierre Bourguignon, Une stratification de l'espace des structures riemanniennes
  2. Eugene D. Rodionov, Viktor V. Slavskii, Conformal deformations of the Riemannian metrics and homogeneous Riemannian spaces
  3. Lionel Berard Bergery, Sur certaines fibrations d'espaces homogènes riemanniens
  4. Lionel Bérard-Bergery, Sur la courbure des métriques riemanniennes invariantes des groupes de Lie et des espaces homogènes
  5. J. Eells, S. Salamon, Twistorial construction of harmonic maps of surfaces into four-manifolds
  6. McKenzie Y. Wang, Wolfgang Ziller, On normal homogeneous Einstein manifolds
  7. Hajime Urakawa, The first eigenvalue of the laplacian for a positively curved homogeneous riemannian manifold
  8. Ilka Agricola, The Srní lectures on non-integrable geometries with torsion

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