Sur le volume des variétés riemanniennes pincées

Marina Ville

Bulletin de la Société Mathématique de France (1987)

  • Volume: 115, page 127-139
  • ISSN: 0037-9484

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Ville, Marina. "Sur le volume des variétés riemanniennes pincées." Bulletin de la Société Mathématique de France 115 (1987): 127-139. <http://eudml.org/doc/87525>.

@article{Ville1987,
author = {Ville, Marina},
journal = {Bulletin de la Société Mathématique de France},
keywords = {volume; pinching condition; sectional curvature; Gauss-Bonnet formula},
language = {fre},
pages = {127-139},
publisher = {Société mathématique de France},
title = {Sur le volume des variétés riemanniennes pincées},
url = {http://eudml.org/doc/87525},
volume = {115},
year = {1987},
}

TY - JOUR
AU - Ville, Marina
TI - Sur le volume des variétés riemanniennes pincées
JO - Bulletin de la Société Mathématique de France
PY - 1987
PB - Société mathématique de France
VL - 115
SP - 127
EP - 139
LA - fre
KW - volume; pinching condition; sectional curvature; Gauss-Bonnet formula
UR - http://eudml.org/doc/87525
ER -

References

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  1. [Be] BERGER (M.). — Sur quelques variétés riemanniennes suffisamment pincées, Bull. Soc. math. France, vol. 88, 1960, p. 57-71. Zbl0096.15503MR24 #A3606
  2. [Bo] BOURGUIGNON (J.-P.). — Une stratification de l'espace des métriques riemanniennes, Composition math., vol. 30, 1975, p. 1-41. Zbl0301.58015MR54 #6189
  3. [Bes] SÉMINAIRE ARTHUR BESSE. — Einstein manifolds, Springer-Verlag, 1986. 
  4. [Ch-E] CHEEGER (J.) and EBIN (D. G.). — Comparison theorems in Riemannian geometry, North-Holland mathematical Library, vol. 9. Zbl0309.53035MR56 #16538
  5. [Ch] CHERN (S. S.). — On curvature and characteristic classes of a Riemannian manifold, Abh. Math. Sem. Univ. Hamburg, vol. 20, 1956, p. 117-126. Zbl0066.17003MR17,783e
  6. [Ch-G] CHEEGER (J.) and GROMOV (M.). — On the characteristic numbers of complete manifolds of bounded curvature and finite volume, Differential Geometry and Analysis, ed. by Chavel and Farkas, Springer, 1985, p. 115-154. Zbl0592.53036MR86h:58131
  7. [Gr] GROMOV (M.). — Volume and bounded cohomology, Publications mathématiques de l'I.H.E.S., n° 56, 1983, p. 213-307. 
  8. [Gü] GÜNTHER (P.). — Uber das Volumenelement eines Riemannschen Raumes Publ. Math. Debrecen., Vol. 7, 1960, p. 78-93. Zbl0097.37304MR25 #4471
  9. [Hi] HILBERT (D.). — Die Grundlagen des Physik, Nachr. Ges. Wiss. Gött, 1915, p. 395-407. Zbl45.1111.01JFM45.1111.01
  10. [Sp] SPIVAK (M.). A comprehensive introduction to differential Geometry, t. 5, Publish or Perish, 1975. Zbl0306.53003
  11. [Th] THORPE (J. A.). — Some remarks on the Gauss-Bonnet integral, Jour. Math. Mec., vol. 18, n° 8, 1969, p. 779-786. Zbl0183.50503MR41 #963

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