On the nonexistence of fat partially hyperbolic horseshoes

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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.
10 pages

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Dynamical Systems, 37D30

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http://salesiana.dossiersoluciones.com/handle/123456789/75650

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507027
 http://arxiv.org/abs/math/0507027

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arXiv