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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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On $\mathrm {K}$-contact manifolds with minimal number of closed characteristics
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by Philippe Rukimbira PDF
Proc. Amer. Math. Soc. 127 (1999), 3345-3351 Request permission

Abstract:

We prove that closed simply connected K-contact manifolds with minimal number of closed characteristics are homeomorphic to odd-dimensional spheres.
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Additional Information
  • Philippe Rukimbira
  • Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199
  • Email: rukim@fiu.edu
  • Received by editor(s): May 9, 1997
  • Received by editor(s) in revised form: January 12, 1998
  • Published electronically: May 3, 1999
  • Communicated by: Christopher Croke
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3345-3351
  • MSC (1991): Primary 58F05, 58F22; Secondary 53C15, 53C57
  • DOI: https://doi.org/10.1090/S0002-9939-99-05217-X
  • MathSciNet review: 1646205