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Cohomology of dominated diffeomorphism-valued cocycles over hyperbolic systems

Published online by Cambridge University Press:  19 March 2015

LUCAS H. BACKES
Affiliation:
IMPA, Estrada Dona Castorina 110, 2460-320 Rio de Janeiro, RJ, Brazil email lhbackes@impa.br
ALEJANDRO KOCSARD
Affiliation:
IME—Universidade Federal Fluminense, Rua Mário Santos Braga S/N, 24020-140 Niterói, RJ, Brazil email akocsard@id.uff.br

Abstract

We prove a rigidity theorem for dominated Hölder 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.

Type
Research Article
Copyright
© Cambridge University Press, 2015 

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