Surfaces of section for expansive flows on three-manifolds (Q1898880)
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scientific article; zbMATH DE number 800609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surfaces of section for expansive flows on three-manifolds |
scientific article; zbMATH DE number 800609 |
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Surfaces of section for expansive flows on three-manifolds (English)
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25 September 1995
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We prove that any transitive expansive flow on a three-dimensional closed manifold admits surfaces of section with first return maps topologically conjugate to pseudo-Anosov diffeomorphisms. We use this property to construct Markov partitions and semi-conjugations with subshifts of finite type for these flows.
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expansive flows
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Anosov flows
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foliations
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