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Let be a smooth flow with positive speed and positive topological entropy on a compact smooth three dimensional manifold, and let be an ergodic measure of maximal entropy. We show that either is Bernoulli, or is isomorphic to the product of a Bernoulli flow and a rotational flow. Applications are given to Reeb flows.
Cite this article
François Ledrappier, Yuri Lima, Omri M. Sarig, Ergodic properties of equilibrium measures for smooth three dimensional flows. Comment. Math. Helv. 91 (2016), no. 1, pp. 65–106