Entropy-expansiveness for partially hyperbolic diffeomorphisms
Discrete and Continuous Dynamical Systems2012Vol. 32(12), pp. 4195–4207
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Abstract
We show that diffeomorphisms with a dominated splitting ofthe form $E^s\oplus E^c\oplus E^u$, where $E^c$ is a nonhyperboliccentral bundle that splits in a dominated way into1-dimensional subbundles, are entropy-expansive.In particular, they have a principal symbolic extension and equilibrium states.