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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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Closed geodesics and volume growth of Riemannian manifolds
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by Jianming Wan PDF
Proc. Amer. Math. Soc. 139 (2011), 687-689 Request permission

Abstract:

In this paper, we study the relation between the existence of closed geodesics and the volume growth of open Riemannian manifolds with non-negative curvature.
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Additional Information
  • Jianming Wan
  • Affiliation: Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang, 310027, People’s Republic of China
  • MR Author ID: 897308
  • Email: wanj_m@yahoo.com.cn
  • Received by editor(s): February 25, 2010
  • Received by editor(s) in revised form: April 17, 2010
  • Published electronically: August 24, 2010
  • Communicated by: Jianguo Cao
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 687-689
  • MSC (2010): Primary 53C20; Secondary 53C22
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10549-X
  • MathSciNet review: 2736348