JournalspmVol. 68, No. 1pp. 1–17

Denseness of ergodicity for a class of volume-preserving flows

  • Mário Bessa

    Universidade do Porto, Portugal
  • Jorge Rocha

    Universidade do Porto, Portugal
Denseness of ergodicity for a class of volume-preserving flows cover

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Abstract

We consider the class of C1C^1 partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the C1C^1-Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic C2C^2 volume-preserving flow and so, as a consequence, ergodicity is dense.

Cite this article

Mário Bessa, Jorge Rocha, Denseness of ergodicity for a class of volume-preserving flows. Port. Math. 68 (2011), no. 1, pp. 1–17

DOI 10.4171/PM/1878