2024
DOI: 10.1017/etds.2024.33
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On invariant holonomies between centers

RADU SAGHIN

Abstract: We prove that for $C^{1+\theta }$ , $\theta $ -bunched, dynamically coherent partially hyperbolic diffeomorphisms, the stable and unstable holonomies between center leaves are $C^1$ , and the derivative depends continuously on the points and on the map. Also for $C^{1+\theta }$ , $\theta $ -bunched partially hyperbolic diffeomorphisms, the derivative cocycle restricte… Show more

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