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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On K-contact manifolds with minimal number
of closed characteristics


Author: Philippe Rukimbira
Journal: Proc. Amer. Math. Soc. 127 (1999), 3345-3351
MSC (1991): Primary 58F05, 58F22; Secondary 53C15, 53C57
Published electronically: May 3, 1999
MathSciNet review: 1646205
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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

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05217-X
PII: S 0002-9939(99)05217-X
Keywords: K-contact form, clean function, closed characteristics
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
Article copyright: © Copyright 1999 American Mathematical Society