Author:
Katok Anatole,Burns Keith
Abstract
AbstractWe establish general criteria for ergodicity and Bernoulliness for volume preserving diffeormorphisms and flows on compact manifolds. We prove that every ergodic component with non-zero Lyapunov exponents of a contact flow is Bernoulli. As an application of our general results, we construct on every compact 3-dimensional manifold a C∞ Riemannian metric whose geodesic flow is Bernoulli.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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