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arXiv:0706.4053 [math.DS]AbstractReferencesReviewsResources

Toward the classification of cohomology-free vector fields

Alejandro Kocsard

Published 2007-06-27, updated 2007-07-11Version 2

In 1984, Anatole Katok conjectured that the only closed orientable manifolds that support cohomology-free vector fields are tori and these vector fields are smoothly conjugated to Diophantine (constant) ones. In this work we present a proof of Katok conjecture for 3-manifolds.

Comments: 70 pages, PhD thesis (IMPA, May 2007). Corrected typos
Categories: math.DS, math.GT
Subjects: 37C15, 37C55
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