Smooth Lyapunov 1-forms

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We find conditions which guarantee that a given flow on a closed smooth manifold admits a smooth Lyapunov one-form lying in a prescribed de Rham cohomology class. These conditions are formulated in terms of Schwartzman's asymptotic cycles of the flow.
11 pages, 1 figure

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Dynamical Systems, Algebraic Topology, 37B25, 37C99

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http://salesiana.dossiersoluciones.com/handle/123456789/67041

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304137
 http://arxiv.org/abs/math/0304137

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arXiv