Toward the classification of cohomology-free vector fields
Dynamical Systems
2007-07-12 v2 Geometric Topology
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.
Cite
@article{arxiv.0706.4053,
title = {Toward the classification of cohomology-free vector fields},
author = {Alejandro Kocsard},
journal= {arXiv preprint arXiv:0706.4053},
year = {2007}
}