Smooth Lyapunov 1-forms

Mathematics – Dynamical Systems

Scientific paper

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11 pages, 1 figure

Scientific paper

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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