Open AccessTopology and closed characteristics of {$K$}-contact manifolds
Author(s) -
Philippe Rukimbira
Publication year - 1995
Publication title -
bulletin of the belgian mathematical society - simon stevin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.36
H-Index - 31
eISSN - 2034-1970
pISSN - 1370-1444
DOI - 10.36045/bbms/1103408725
Subject(s) - betti number , closed manifold , manifold (fluid mechanics) , mathematics , zero (linguistics) , topology (electrical circuits) , pure mathematics , combinatorics , invariant manifold , engineering , mechanical engineering , linguistics , philosophy
We prove that the characteristic ow of a K-contact form has at least n+1 closed leaves on a closed 2n+1-dimensional manifold. We also show that the rst Betti number of a closed sasakian manifold with nitely many closed characteristics is zero.
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