The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
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Date
2018Author
Backes, Lucas Henrique
Poletti, Mauricio
Sánchez Chavarría, Adriana Cristina
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We prove that the set of fiber-bunched SL(2, R)-valued Hölder cocycles with nonvanishing Lyapunov exponents over a volume preserving, accessible and center-bunched partially hyperbolic diffeomorphism is open. Moreover, we present an example showing that this is no longer true if we do not assume accessibility in the base dynamics.
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10.4310/MRL.2018.v25.n6.a2Collections
- Matemática [232]