Toward the classification of cohomology-free vector fields

Details Toward the classification of cohomology-free vector fields Toward the classification of cohomology-free vector fields

2007-06-27

arxiv.org/abs/0706.4053v2

Mathematics

Dynamical Systems

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

Scientific paper

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.

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