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Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves

Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves

We consider classes of partially hyperbolic diffeomorphism f:M\to M with splitting TM=E^s\oplus E^c\oplus E^u and \dim E^c=2 . These classes include for instance (perturbations of) the product of Anosov and conservative surface diffeomorphisms, skew products of surface diffeomorphisms over Anosov, partially hyperbolic symplectomorphisms on manifolds of dimension four with bidimensional …