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Real analytic Bernoulli geodesic flows on $$S^ 2$$. (English) Zbl 0645.58029
We show that each compact surface has a family of metrics whose geodesic flows are ergodic and Bernoulli. Each of these families includes real analytic metrics.
Reviewer: K.Burns

##### MSC:
 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 53D25 Geodesic flows in symplectic geometry and contact geometry 37A99 Ergodic theory
##### Keywords:
real analytic; geodesic flows; ergodic; Bernoulli