Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic Systems
classification
🧮 math.DS
keywords
cocyclesdominatedhyperboliccohomologouscohomologycompactdatadiffeomorphism
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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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