\(C^ r\)-rigidity theorems for hyperbolic flows
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.
scientific article; zbMATH DE number 4102138
scientific article