Sur les variétés riemanniennes très pincées

Nicolaas H. Kuiper

Séminaire Bourbaki (1971-1972)

  • Volume: 14, page 201-218
  • ISSN: 0303-1179

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Kuiper, Nicolaas H.. "Sur les variétés riemanniennes très pincées." Séminaire Bourbaki 14 (1971-1972): 201-218. <http://eudml.org/doc/109812>.

@article{Kuiper1971-1972,
author = {Kuiper, Nicolaas H.},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {201-218},
publisher = {Springer-Verlag},
title = {Sur les variétés riemanniennes très pincées},
url = {http://eudml.org/doc/109812},
volume = {14},
year = {1971-1972},
}

TY - JOUR
AU - Kuiper, Nicolaas H.
TI - Sur les variétés riemanniennes très pincées
JO - Séminaire Bourbaki
PY - 1971-1972
PB - Springer-Verlag
VL - 14
SP - 201
EP - 218
LA - fre
UR - http://eudml.org/doc/109812
ER -

References

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  1. [1] M. Berger - An extension of Rauch's metric comparison theorem and some applications, Illinois J. Math.6, (1962), p. 700-712. Zbl0113.37003MR143159
  2. [2] M. Berger - Les variétés riemanniennes 1/4- pincées, Ann. Scuola Normale Superiore, Pisa (3), Vol. 14 (1960), p. 161-170. Zbl0096.15502MR140054
  3. [3] M. Brown - A proof of the generalized Schoenflies theorem, Bull. A.M.S., 66 (1960), p. 74-76. [Voir aussi Sém. Bourbaki, exposé 205, vol. 1960/61, W. A. Benjamin, N.Y.] Zbl0132.20002MR117695
  4. [4] P.E. Eberlein - Manifolds admitting no metric of constant negative curvature, Journal of Diff. Geom., 5 (1971), p. 59-60. Zbl0212.26602MR295249
  5. [5] D. Gromoll, W. Klingenberg und W. Meyer - Riemannsche Geometrie im Grossen, Lecture Notes in Maths. n° 55 (1968), Springer. Zbl0293.53001MR229177
  6. [6] D. Gromoll - Differenzierbare Strukturen und Metriken positiver Krümmung auf Spharen, Math. Ann., 164 (1966), p. 353-371. Zbl0135.40301MR196754
  7. [7] H. Karcher - Pinching implies strong pinching, Comment. Math. Helv., 46, p. 124-126. Zbl0216.43803MR291988
  8. [8] W. Klingenberg - Über kompacte Riemmannsche Mannigfaltigkeiten, Math. Ann., 137 (1959), p. 351-361 . Zbl0133.15004MR105710
  9. [9] W. Klingenberg - Über Riemannsche Mannigfaltigkeiten mit positiever Krümmung, Comment. Math. Helv., 34 (1961), p. 35-54. Zbl0133.15005MR139120
  10. [10] M. Rauch - A contribution to differential geometry in the large, Ann. of Math., 54 (1951), p. 38-55. Zbl0043.37202MR42765
  11. [11] E. Ruh - Curvature and differentiable structures on spheres, Comment. Math. Helv., 46 (1971), p. 127-136. Zbl0206.50704MR290290
  12. [12] E. Ruh - (à paraître). 
  13. [13] Y. Shikata - On the differentiable pinching problem, Osaka Math. J., 4 (1967), p. 279-287. Zbl0155.31601MR226544
  14. [14] M. Sugimoto, K. Shiohama, H. Karcher - On the differentiable pinching problem, Math. Ann., (à paraître). Zbl0214.48902MR290291
  15. [15] V.A. Toponogov - Riemannian spaces having their curvature bounded, A.M.S. Transl., 37 (1964), p. 291-336. Zbl0136.42904

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