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Smooth Lyapunov 1-forms

M. Farber·T. Kappeler·J. Latschev·E. Zehnder
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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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M. Farber, T. Kappeler, J. Latschev, E. Zehnder. 2003-04-10. Smooth Lyapunov 1-forms. https://arxiv.org/abs/math/0304137

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