Linearization of Cohomology-free Vector Fields

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.

References in corpus (2)

• The Seiberg-Witten equations and the Weinstein conjecture
• On the cohomological equation for nilflows