Denseness of ergodicity for a class of volume-preserving flows

Bessa, Mário; Rocha, Jorge

http://hdl.handle.net/10400.2/13881

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Authors

Bessa, Mário

Rocha, Jorge

Abstract(s)

We consider the class of C1 partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the C 1 -Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic C2 volume-preserving flow and so, as a consequence, ergodicity is dense.