Denseness of ergodicity for a class of partially hyperbolic volume-preserving flows
نویسندگان
چکیده
Let P be the set of C1 partially hyperbolic volume-preserving flows with one dimensional central direction endowed with the C1flow topology. We prove that any X ∈ P can be approximated by an ergodic C2 volume-preserving flow. As a consequence ergodicity is dense in P. MSC 2000: primary 37D30, 37D25; secondary 37A99. keywords: Dominated splitting; Partial hyperbolicity; Volume-preserving flows; Lyapunov exponents; Stable ergodicity.
منابع مشابه
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