Relative structure cycles and the existence of smooth Lyapunov 1-forms for flows

Janko Latschev

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Relative structure cycles and the existence of smooth Lyapunov 1-forms for flows

Janko Latschev

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Abstract

We give necessary and sufficient conditions for the existence of smooth Lyapunov 1-forms for the flow of a smooth vector field in terms of the behavior of certain locally finite invariant measures. The main statement generalizes a result of Schwartzman, whereas the methods are adapted from work of Sullivan.

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Janko Latschev. 2004-02-05. Relative structure cycles and the existence of smooth Lyapunov 1-forms for flows. https://arxiv.org/abs/math/0402081

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