Toward the classification of cohomology-free vector fields
classification
🧮 math.DS
math.GT
keywords
fieldsvectorcohomology-freekatokmanifoldsanatoleclassificationclosed
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.