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.

Anexos:

• Alejandro_kocsard.pdf