Real analytic Bernoulli geodesic flows on S2
- 1 March 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 9 (1) , 27-45
- https://doi.org/10.1017/s0143385700004806
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.Keywords
This publication has 9 references indexed in Scilit:
- Comparison Theorems in Riemannian GeometryPublished by American Mathematical Society (AMS) ,2008
- Geodesic flow on the two-sphere, Part I: Positive measure entropyErgodic Theory and Dynamical Systems, 1988
- Geodesic flow on the two-sphere part II: ErgodicityPublished by Springer Nature ,1988
- On surfaces with no conjugate pointsJournal of Differential Geometry, 1987
- Invariant families of cones and Lyapunov exponentsErgodic Theory and Dynamical Systems, 1985
- Manifolds of Nonpositive CurvaturePublished by Springer Nature ,1985
- Differential Analysis on Complex ManifoldsPublished by Springer Nature ,1980
- Variétés analytiques réelles et variétés analytiques complexesBulletin de la Société Mathématiques de France, 1957
- Analytic mapping of compact Riemann spaces into Euclidean spaceDuke Mathematical Journal, 1937