Removing zero Lyapunov exponents in volume-preserving flows

نویسندگان

  • Mário Bessa
  • Jorge Rocha
چکیده

Baraviera and Bonatti in [1] proved that it is possible to perturb, in the Ctopology, a volume-preserving and partial hyperbolic diffeomorphism in order to obtain a non-zero sum of all the Lyapunov exponents in the central direction. In this article we obtain the analogous result for volume-preserving flows. MSC 2000: primary 37D30, 37D25; secondary 37A99. keywords: Dominated splitting; volume-preserving flows; Lyapunov exponents; Stably ergodic.

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تاریخ انتشار 2006