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Removing zero Lyapunov exponents in volume-preserving flows

arXiv:math/0610558 · doi:10.1088/0951-7715/20/4/011

Abstract

Baraviera and Bonatti proved that it is possible to perturb, in the c^1 topology, 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.

10 pages