\(C^ r\)-rigidity theorems for hyperbolic flows (Q1120876)
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scientific article; zbMATH DE number 4102138
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^ r\)-rigidity theorems for hyperbolic flows |
scientific article; zbMATH DE number 4102138 |
Statements
\(C^ r\)-rigidity theorems for hyperbolic flows (English)
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1988
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Some interesting results on differentiability of a conjugating homeomorphism for Markov interval maps and codimension one Anosov flows are obtained. For example, for three-dimensional Anosov flows with \(C^{r+\alpha}\) (r\(\geq 1)\) stable and unstable foliations every conjugating homeomorphism which is absolutely continuous with respect to each of the positive and negative Sinaj-Ruelle-Bowen measures is necessarily a \(C^{r+\alpha}\)-diffeomorphism.
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\(C^ r\)-rigidity
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Markov interval maps
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Anosov flows
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0.9610585
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