Stably ergodic diffeomorphisms which are not partially hyperbolic

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We show stable ergodicity of a class of conservative diffeomorphisms which do not have any hyperbolic invariant subbundle. Moreover the uniqueness of SRB measures for non-conservative $C^1$ perturbations of such diffeomorphisms. This class contains strictly non-partially hyperbolic robustly transitive diffeomorphisms by Bonatti-Viana and so we answer their question about the stable ergodicity of such systems.
33 pages, 4 figures

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Dynamical Systems, 37D30

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http://salesiana.dossiersoluciones.com/handle/123456789/64260

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206083
 http://arxiv.org/abs/math/0206083

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arXiv