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A diameter sphere theorem for manifolds of positive ricci curvature

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References

  • [A] Anderson, M. T.: Metrics of positive Ricci curvature with large diameter,Manuscr. Math. 68, 405–415 (1990).

    Article  MATH  Google Scholar 

  • [Ch] Cheng, S.-Y.: Eigenvalue comparison theorems and their geometric applications,Math. Zeitschrift 143, 289–297 (1975).

    Article  MATH  Google Scholar 

  • [C] Colding, T.: in preparation.

  • [GP] Grove, K., Petersen, P. V.: A pinching theorem for homotopy spheresJ. AMS 3, 671–677 (1990).

    MATH  MathSciNet  Google Scholar 

  • [GS] Grove, K., Shiohama, K.: A generalized sphere theorem,Ann. Math. 106, 201–211 (1977).

    Article  MathSciNet  Google Scholar 

  • [O] Otsu, Y.: On mainifolds of positive Ricci curvature, with large diameter.Math. Zeitschrift 206, 255–264 (1991).

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. St. Petersburg branch of Steklov Institute, Fontanka 27, 191011, St. Petersburg, Russian

    G. Perelman

  2. Department of Mathematics, University of California, 94720, Berkely, CA, USA

    G. Perelman

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  1. G. Perelman
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The result of this paper was obtained during the author’s hospitable stay at the Courant Institute for Mathematical Sciences

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Perelman, G. A diameter sphere theorem for manifolds of positive ricci curvature. Math Z 218, 595–596 (1995). https://doi.org/10.1007/BF02571925

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  • DOI: https://doi.org/10.1007/BF02571925

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