Smooth Lyapunov 1-forms (Q2565935)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth Lyapunov 1-forms |
scientific article |
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Smooth Lyapunov 1-forms (English)
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28 September 2005
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Using Schwartzman's asymptotic cycles \(\mathcal{A}_\mu(\Phi)\) of the flow \(\Phi\), the authors find conditions guaranteeing that a given smooth flow \(\Phi\) on a closed smooth manifold \(M\) in a compact metric space admits a smooth Lyapounov 1-form \(\omega\) from a prescribed de Rham cohomology class \(\xi\in H^1(M;\mathbb{R})\).
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smooth manifold
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smooth flow
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smooth Lyapounov 1-form
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