The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
Backes, Lucas Henrique
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.
External link to the item10.4310/MRL.2018.v25.n6.a2
- Matemática