We show that diffeomorphisms with a dominated splitting ofthe form Eˢ⊕ Eᶜ⊕ Eᵘ, where Eᶜ 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.
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Díaz et al. (2012) studied this question.
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