Volume growth and entropy for c1 partially hyperbolic diffeomorphisms

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6 Citas (Scopus)

Resumen

We show that the metric entropy of a C1 diffeomorphism with a dominated splitting and with the dominating bundle uniformly expanding is bounded from above by the integrated volume growth of the dominating (expanding) bundle plus the maximal Lyapunov exponent from the dominated bundle multiplied by its dimension. We also discuss different types of volume growth that can be associated with an expanding foliation and relationships between them, specially when there exists a closed form non-degenerate on the foliation. Some consequences for partially hyperbolic diffeomorphisms are presented.

Idioma originalInglés
Páginas (desde-hasta)3789-3801
Número de páginas13
PublicaciónDiscrete and Continuous Dynamical Systems- Series A
Volumen34
N.º9
DOI
EstadoPublicada - sept. 2014
Publicado de forma externa

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