Entropy-expansiveness for partially hyperbolic diffeomorphisms
classification
🧮 math.DS
keywords
diffeomorphismsdominatedoplusbundlecentraldimensionalentropy-expansiveentropy-expansiveness
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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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