Entropy-expansiveness for partially hyperbolic diffeomorphisms

Todd Fisher, Lorenzo J. Diaz, Maria J. Pacifico, Jose L. Vieitez

Published 2010-10-04, updated 2011-10-18Version 2

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.