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On the nonexistence of fat partially hyperbolic horseshoes

José F. Alves·Vilton Pinheiro
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Abstract

We show that there are no partially hyperbolic horseshoes with positive Lebesgue measure for diffeomorphisms whose class of differentiability is higher than 1. This generalizes a classical result by Bowen for uniformly hyperbolic horseshoes.

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José F. Alves, Vilton Pinheiro. 2005-07-01. On the nonexistence of fat partially hyperbolic horseshoes. https://arxiv.org/abs/math/0507027

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