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arXiv · 1408.3085

Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic Systems

Lucas H. Backes·Alejandro Kocsard
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Abstract

We prove a rigidity theorem for dominated H\"{o}lder cocycles with values on diffeomorphism groups of a compact manifold over hyperbolic homeomorphisms. More precisely, we show that if two such cocycles have equal periodic data, then they are cohomologous.

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Lucas H. Backes, Alejandro Kocsard. 2014-08-13. Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic Systems. https://doi.org/10.1017/etds.2014.149

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