Toward the classification of cohomology-free vector fields

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dc.creatorKocsard, Alejandro
dc.date2007-06-27
dc.date2007-07-11
dc.date.accessioned2026-07-07T08:14:46Z
dc.date.available2026-07-07T08:14:46Z
dc.descriptionIn 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.
dc.description70 pages, PhD thesis (IMPA, May 2007). Corrected typos
dc.identifierhttps://arxiv.org/abs/0706.4053
dc.identifierhttp://arxiv.org/abs/0706.4053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133244
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject37C15, 37C55
dc.titleToward the classification of cohomology-free vector fields
dc.typetext

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