Geodesic flow on the two-sphere, Part I: Positive measure entropy
- 1 December 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 8 (4) , 531-553
- https://doi.org/10.1017/s0143385700004685
Abstract
A C∞ metric is constructed on S2 whose geodesic flow has positive measure entropy.Keywords
This publication has 10 references indexed in Scilit:
- Real analytic Bernoulli geodesic flows on S2Ergodic Theory and Dynamical Systems, 1989
- On surfaces with no conjugate pointsJournal of Differential Geometry, 1987
- Principles for the design of billiards with nonvanishing Lyapunov exponentsCommunications in Mathematical Physics, 1986
- Structure of Manifolds of Nonpositive Curvature. IAnnals of Mathematics, 1985
- Invariant families of cones and Lyapunov exponentsErgodic Theory and Dynamical Systems, 1985
- Curvature Bounds for the Entropy of the Geodesic Flow on a SurfaceJournal of the London Mathematical Society, 1981
- On the ergodic properties of nowhere dispersing billiardsCommunications in Mathematical Physics, 1979
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORYRussian Mathematical Surveys, 1977
- When is a geodesic flow of Anosov type? IJournal of Differential Geometry, 1973
- Closed Surfaces Without Conjugate PointsProceedings of the National Academy of Sciences, 1948