\(C^ r\)-rigidity theorems for hyperbolic flows
type: Item
instance of: scholarly article
title: \(C^ r\)-rigidity theorems for hyperbolic flows
zbMATH Open document ID: 0673.58032
DOI: 10.1007/BF02776299
author: Mark Pollicott
published in: Israel Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 37C10
zbMATH DE Number: 4102138
zbMATH Keywords: \(C^ r\)-rigidity
zbMATH Keywords: Markov interval maps
zbMATH Keywords: Anosov flows
MaRDI profile type: Publication
cites work: Q5548151
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description: scientific article; zbMATH DE number 4102138