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- W4386875341 abstract "We consider Holder continuous $GL(d,mathbb R)$-valued cocycles, and more generally linear cocycles, over an accessible volume-preserving center-bunched partially hyperbolic diffeomorphism. We study the regularity of a conjugacy between two cocycles. We establish continuity of a measurable conjugacy between {em any} constant $GL(d,mathbb R)$-valued cocycle and its perturbation. We deduce this from our main technical result on continuity of a measurable conjugacy between a fiber bunched linear cocycle and a cocycle with a certain block-triangular structure. The latter class covers constant cocycles with one Lyapunov exponent. We also establish a result of independent interest on continuity of measurable solutions for twisted vector-valued cohomological equations over partially hyperbolic systems. In addition, we give more general versions of earlier results on regularity of invariant subbudles, Riemannian metrics, and conformal structures." @default.
- W4386875341 created "2023-09-20" @default.
- W4386875341 creator A5034245555 @default.
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- W4386875341 date "2023-09-16" @default.
- W4386875341 modified "2023-09-27" @default.
- W4386875341 title "On regularity of conjugacy between linear cocycles over partially hyperbolic systems" @default.
- W4386875341 doi "https://doi.org/10.48550/arxiv.2309.09130" @default.
- W4386875341 hasPublicationYear "2023" @default.
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