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Entropy-expansiveness for partially hyperbolic diffeomorphisms

Abstract

We show that diffeomorphisms with a dominated splitting of the form EsEcEuE^s\oplus E^c\oplus E^u, where EcE^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.Comment: 15 pages, 1 figur

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