Ergodic Theory and Dynamical Systems

Research Article

Real analytic Bernoulli geodesic flows on S2

Keith Burnsa1 and Marlies Gerbera1

a1 Department of Mathematics, Indiana University, Bloomington, IN 47405, USA

Abstract

We obtain a family of metrics on the two-dimensional sphere whose geodesic flow is ergodic and Bernoulli. This family includes real analytic metrics.

(Received January 29 1987)

(Revised June 12 1987)