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Sur les variétés riemanniennes très pincées

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Séminaire Bourbaki vol. 1971/72 Exposés 400–417

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 317))

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Références

  1. M. BERGER-An extension of Rauch's metric comparison theorem and some applications, Illinois J. Math. 6, (1962), p. 700–712.

    MathSciNet  MATH  Google Scholar 

  2. M. BERGER-Les variétés riemanniennes 1/4-pincées, Ann. Scuola Normale Superiore, Pisa (3), Vol. 14 (1960), p. 161–170.

    MATH  Google Scholar 

  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.]

    Article  MATH  Google Scholar 

  4. P. E. EBERLEIN-Manifolds admitting no metric of constant negative curvature, Journal of Diff. Geom., 5 (1971), p. 59–60.

    MathSciNet  MATH  Google Scholar 

  5. D. GROMOLL, W. KLINGENBERG und W. MEYER-Riemannsche Geometrie im Grossen, Lecture Notes in Maths. no 55 (1968), Springer.

    Google Scholar 

  6. D. GROMOLL-Differenzierbare Strukturen und Metriken positiver Krümmung auf Sphären, Math. Ann., 164 (1966), p. 353–371.

    Article  MathSciNet  MATH  Google Scholar 

  7. H. KARCHER-Pinching implies strong pinching, Comment. Math. Helv., 46, p. 124–126.

    Google Scholar 

  8. W. KLINGENBERG-Über kompacte Riemmannsche Mannigfaltigkeiten, Math. Ann., 137 (1959), p. 351–361.

    Article  MathSciNet  MATH  Google Scholar 

  9. W. KLINGENBERG-Über Riemannsche Mannigfaltigkeiten mit positiever Krümmung, Comment. Math. Helv., 34 (1961), p. 35–54.

    Google Scholar 

  10. M. RAUCH-A contribution to differential geometry in the large, Ann. of Math., 54 (1951), p. 38–55.

    Article  MathSciNet  MATH  Google Scholar 

  11. E. RUH-Curvature and differentiable structures on spheres, Comment. Math. Helv., 46 (1971), p. 127–136.

    Article  MathSciNet  Google Scholar 

  12. E. RUH-(à paraître).

    Google Scholar 

  13. Y. SHIKATA-On the differentiable pinching problem, Osaka Math. J., 4 (1967), p. 279–287.

    MathSciNet  MATH  Google Scholar 

  14. M. SUGIMOTO, K. SHIOHAMA, H. KARCHER-On the differentiable pinching problem, Math. Ann., (à paraître).

    Google Scholar 

  15. V. A. TOPONOGOV-Riemannian spaces having their curvature bounded, A.M.S. Transl., 37 (1964), p. 291–336.

    Google Scholar 

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Authors
  1. Nicolaas H. Kuiper
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A. Dold B. Eckmann

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© 1973 N. Bourbaki

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Kuiper, N.H. (1973). Sur les variétés riemanniennes très pincées. In: Dold, A., Eckmann, B. (eds) Séminaire Bourbaki vol. 1971/72 Exposés 400–417. Lecture Notes in Mathematics, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069283

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  • DOI: https://doi.org/10.1007/BFb0069283

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06179-3

  • Online ISBN: 978-3-540-38403-8

  • eBook Packages: Springer Book Archive

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