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

Horita, Vanderlei [UNESP]; Sambarino, Martin

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

Arquivos

2-s2.0-85026457756.pdf (444.13 KB)

Data

2017-01-01

Autores

Horita, Vanderlei

Sambarino, Martin

Tipo

Artigo

Direito de acesso

Acesso aberto

Resumo

We consider classes of partially hyperbolic diffeomorphism f : M → M with splitting TM = Es ⊕ Ec ⊕ Eu and dim Ec = 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 center foliation whose center leaves are all compact. We prove that accessibility holds in these classes for C1 open and Cr dense subsets and moreover they are stably ergodic.