# Lyapunov exponents and rigidity of Anosov automorphisms and skew products

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

11 Citas (Scopus)

## Resumen

In this paper we obtain local rigidity results for linear Anosov diffeomorphisms in terms of Lyapunov exponents. More specifically, we show that given an irreducible linear hyperbolic automorphism L with simple real eigenvalues with distinct absolute values, any small perturbation preserving the volume and with the same Lyapunov exponents is smoothly conjugate to L. We also obtain rigidity results for skew products over Anosov diffeomorphisms. Given a volume preserving partially hyperbolic skew product diffeomorphism f0 over an Anosov automorphism of the 2-torus, we show that for any volume preserving perturbation f of f0 with the same average stable and unstable Lyapunov exponents, the center foliation is smooth.

Idioma original Inglés 106764 Advances in Mathematics 355 https://doi.org/10.1016/j.aim.2019.106764 Publicada - 15 oct. 2019 Sí

## Huella

Profundice en los temas de investigación de 'Lyapunov exponents and rigidity of Anosov automorphisms and skew products'. En conjunto forman una huella única.