Smooth Lyapunov 1-forms

2003/04/10 by M. Farber, T. Kappeler, Farber, M. +5 · 1 citation
Mathematics · #37B25 #37C99 #Algebraic Topology (math.AT) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AT #math.DS #msc:37B25 #msc:37C99

paper · pdf · doi:10.48550/arxiv.math/0304137

11 pages, 1 figure

arxiv created 2003/04/10 · arxiv updated 2009/11/30

Abstract

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.

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