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arXiv · 0706.4053

Toward the classification of cohomology-free vector fields

Alejandro Kocsard
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Abstract

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.

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Alejandro Kocsard. 2007-07-11. Toward the classification of cohomology-free vector fields. https://arxiv.org/abs/0706.4053

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