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The dimension of leaf closures of K-contact flows
Authors:Philippe Rukimbira
Affiliation:(1) Department of Mathematics, Florida International University, 33199 Miami, Florida, USA
Abstract:
For K-contact flows on (2n+1)-dimensional compact manifolds, we show that the dimension of any leaf closure is at most the smaller of (n+1) and 2n+1) minus the rank of the vector space of harmonic vector fields.
Keywords:Cohomological rank  characteristic vector fields  basic forms  K-contact
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