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Cohomology of fiber-bunched twisted cocycles over hyperbolic systems

Published online by Cambridge University Press:  21 July 2020

Lucas Backes*
Affiliation:
Departamento de Matemática, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves 9500, CEP 91509-900, Porto Alegre, Rio Grande do Sul, Brazil (lucas.backes@ufrgs.br)

Abstract

A twisted cocycle taking values on a Lie group G is a cocycle that is twisted by an automorphism of G in each step. In the case where G = GL(d, ℝ), we prove that if two Hölder continuous twisted cocycles satisfying the so-called fiber-bunching condition have the same periodic data then they are cohomologous.

Type
Research Article
Copyright
Copyright © The Authors, 2020. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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