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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A generalization of the classical sphere theorem
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by Changyu Xia PDF
Proc. Amer. Math. Soc. 125 (1997), 255-258 Request permission

Abstract:

In this paper, we prove a sphere theorem for Riemannian manifolds with partially positive curvature which generalizes the classical sphere theorem.
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Additional Information
  • Changyu Xia
  • Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China
  • Address at time of publication: Instituto de Matemática Pure e Aplicada, Estrada Dona Castorina, 110, 22460-320 Rio de Janeiro RJ, Brasil
  • Email: xiacy@impa.br
  • Received by editor(s): August 2, 1995
  • Additional Notes: This work was partially supported by the JSPS postdoctoral fellowship and National Natural Science Foundation of China.
  • Communicated by: Christopher Croke
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 255-258
  • MSC (1991): Primary 53C20
  • DOI: https://doi.org/10.1090/S0002-9939-97-03721-0
  • MathSciNet review: 1363441