On the stable ergodicity of diffeomorphisms with dominated splitting
Abstract
In this paper we obtain two criteria of stable ergodicity outside the partially hyperbolic scenario. In both criteria, we use a weak form of hyperbolicity called chain-hyperbolicity. It is obtained one criterion for diffeomorphisms with dominated splitting and one criterion for weakly partially hyperbolic diffeomorphisms. As an application of one of these criteria, we obtain the C1-density of stable ergodicity inside a certain class of weakly partially hyperbolic diffeomorphisms.
0