Cohomology free systems and the first Betti number

Details Cohomology free systems and the first Betti number Cohomology free systems and the first Betti number

2006-09-13

arxiv.org/abs/math/0609368v2

Discrete Contin. Dyn. Sys. 15 (2006) 1, 193-196

Mathematics

Dynamical Systems

4 pages

Scientific paper

We prove that a cohomology free flow on a manifold M fibers over a
diophantine translation on the torus T b, where b is the first Betti number of
M.

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