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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
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