Diffeomorphisms of manifolds with nonsingular Poincaré flows (Q915240)
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scientific article; zbMATH DE number 4151461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffeomorphisms of manifolds with nonsingular Poincaré flows |
scientific article; zbMATH DE number 4151461 |
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Diffeomorphisms of manifolds with nonsingular Poincaré flows (English)
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1990
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It is shown that for every aperiodic \(C^{\infty}\) ergodic flow on a smooth manifold there exists a diffeomorphism of a (higher-dimensional) manifold which has this flow as its Poincaré flow. The proof also gives a method for constructing diffeomorphisms which are orbit equivalent to amenable Lie group actions.
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aperiodic ergodic flows
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Poincaré flow
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amenable Lie group actions
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