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.References
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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