Stably ergodic diffeomorphisms which are not partially hyperbolic

Details Stably ergodic diffeomorphisms which are not partially hyperbolic Stably ergodic diffeomorphisms which are not partially hyperbolic

2002-06-08

arxiv.org/abs/math/0206083v1

Mathematics

Dynamical Systems

33 pages, 4 figures

Scientific paper

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.

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