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Real analytic Bernoulli geodesic flows on S2

Published online by Cambridge University Press:  19 September 2008

Keith Burns  and
Marlies Gerber
Keith Burns
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA
Marlies Gerber
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA
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Abstract

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

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 9 , Issue 1 , March 1989 , pp. 27 - 45
Copyright
Copyright © Cambridge University Press 1989

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