Entropy-expansiveness for partially hyperbolic diffeomorphisms

Details Entropy-expansiveness for partially hyperbolic diffeomorphisms Entropy-expansiveness for partially hyperbolic diffeomorphisms

2010-10-04

arxiv.org/abs/1010.0721v2

Mathematics

Dynamical Systems

15 pages, 1 figure

Scientific paper

We show that diffeomorphisms with a dominated splitting of the form
$E^s\oplus E^c\oplus E^u$, where $E^c$ is a nonhyperbolic central bundle that
splits in a dominated way into 1-dimensional subbundles, are entropy-expansive.
In particular, they have a principal symbolic extension and equilibrium states.

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