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arxiv: math/0304137 · v1 · submitted 2003-04-10 · 🧮 math.DS · math.AT

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Smooth Lyapunov 1-forms

M. Farber , T. Kappeler , J. Latschev , E. Zehnder
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keywords smoothconditionsflowlyapunovadmitsasymptoticclassclosed
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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.

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