Toward the classification of cohomology-free vector fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133244In 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.70 pages, PhD thesis (IMPA, May 2007). Corrected typosDynamical SystemsGeometric Topology37C15, 37C55Toward the classification of cohomology-free vector fieldstext