paper

Toward the classification of cohomology-free vector fields

arXiv:0706.4053

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.

70 pages, PhD thesis (IMPA, May 2007). Corrected typos

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Toward the classification of cohomology-free vector fields · wovepaper