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Cohomologie et rigidité d'espaces compacts localement symétriques

Armand Borel

Séminaire Bourbaki (1962-1964)

  • Volume: 8, page 313-321
  • ISSN: 0303-1179

How to cite

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Borel, Armand. "Cohomologie et rigidité d'espaces compacts localement symétriques." Séminaire Bourbaki 8 (1962-1964): 313-321. <http://eudml.org/doc/109667>.

@article{Borel1962-1964,
author = {Borel, Armand},
journal = {Séminaire Bourbaki},
keywords = {Riemannian manifolds},
language = {fre},
pages = {313-321},
publisher = {Société Mathématique de France},
title = {Cohomologie et rigidité d'espaces compacts localement symétriques},
url = {http://eudml.org/doc/109667},
volume = {8},
year = {1962-1964},
}

TY - JOUR
AU - Borel, Armand
TI - Cohomologie et rigidité d'espaces compacts localement symétriques
JO - Séminaire Bourbaki
PY - 1962-1964
PB - Société Mathématique de France
VL - 8
SP - 313
EP - 321
LA - fre
KW - Riemannian manifolds
UR - http://eudml.org/doc/109667
ER -

References

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  1. [1] Baily ( W.L.). - The decomposition theorem for V-manifolds, Amer. J. of Math., t. 78, 1956, p. 862-888. Zbl0173.22705MR100103
  2. [2] Calabi ( E.). - On compact Riemannian manifolds with constant curvature, I., Differential geometry, p. 155-180. - Providence, American mathematical Society, 1961 (Proc. Symp. in pure Math., 3). Zbl0129.14102MR133787
  3. [3] Grothendieck ( A.). - Sur quelques points d'algèbre homologique, Tôhoku math. J., t. 9, 1957, p. 119-221. Zbl0118.26104MR102537
  4. [4] Kanetuki ( S.) and Nagano ( T.). - On the first Betti numbers of compact quotient spaces of complex semi-simple Lie groups by discrete subgroups, Scient. Papers Coll. gen. Educ. Univ. Tokyo, t. 12, 1962, p. 1-11. Zbl0132.19502MR145008
  5. [5] Kanetuki ( S.) and Nagano ( T.). - On certain quadratic forms related to symmetric Riemannian spaces, Osaka math. J., t. 14, 1962, p. 241-252. Zbl0114.13403MR159347
  6. [6] Matsushima ( Y.). - On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces, Annals of Math., Series 2, t. 75, 1962, p. 312-330. Zbl0118.38303MR158406
  7. [7] Matsushima ( Y.). - On Betti numbers of compact, locally symmetric Riemannian manifolds, Osaka math. J., t. 14, 1962, p. 1-20. Zbl0118.38401MR141138
  8. [8] Matsushima ( Y.) and Murakami ( S.). - On vector bundle valued harmonic forms and automorphic forms on symmetric spaces, Annals of Math., Series 2, t. 78, 1963, p. 365-416. Zbl0125.10702MR153028
  9. [9] Matsushima ( Y.) and Shimura ( G.). - On the cohomology groups attached to certain vector-valued differential forms on the product of the upper-half planes, t. 78, 1963, p. 417-449. Zbl0141.38704MR155340
  10. [10] Selberg ( A.). - On discontinous groups in higher-dimensional symmetric spaces, Contributions to function theory, International Colloquium on function theory [1960. Bombay], p. 147-164. - Bombay, Tata Institute of fundamental Research, 1960. Zbl0201.36603MR130324
  11. [11] Weil ( A.). - On discrete subgroups of Lie groups, Annals of Math., Series 2, t. 72, 1960, p. 369-384. Zbl0131.26602
  12. [12] Weil ( A.). - On discrete subgroups of Lie groups, II., Annals of Math., Series 2, t. 75, 1962, p. 578-602. Zbl0131.26602MR137793
  13. [13] Weil ( A.). - Remarks on the cohomology of groups, Annals of Math., Series 2 (à paraître). Zbl0192.12802

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