Preprint C61/2007
Toward the classification of cohomology-free vector fields
Alejandro Kocsard
Keywords: cohomological equation | cohomological rigidity | Katok conjecture
In 1984, Anatole Katok conjectured that the only cohomology-free vector fields are those smoothly conjugated to Diophantine vector fields on tori. In this work we prove the validity of Katok conjecture for 3-manifolds.