Smooth Lyapunov 1-forms
Dynamical Systems
2007-05-23 v1 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.math/0304137,
title = {Smooth Lyapunov 1-forms},
author = {M. Farber and T. Kappeler and J. Latschev and E. Zehnder},
journal= {arXiv preprint arXiv:math/0304137},
year = {2007}
}
Comments
11 pages, 1 figure