Linearization of Cohomology-free Vector Fields
Dynamical Systems
2015-07-23 v1
Abstract
We study the cohomological equation for a smooth vector field on a compact manifold. We show that if the vector field is cohomology free, then it can be embedded continuously in a linear flow on an Abelian group.
Keywords
Cite
@article{arxiv.1005.5342,
title = {Linearization of Cohomology-free Vector Fields},
author = {Livio Flaminio and Miguel Paternain},
journal= {arXiv preprint arXiv:1005.5342},
year = {2015}
}