Toward the classification of cohomology-free vector fields

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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.
70 pages, PhD thesis (IMPA, May 2007). Corrected typos

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Dynamical Systems, Geometric Topology, 37C15, 37C55

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http://salesiana.dossiersoluciones.com/handle/123456789/133244

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.4053
 http://arxiv.org/abs/0706.4053

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arXiv