Keywords
- Universal Cover
- Boundary Component
- Absolute Continuity
- Geodesic Flow
- Markov Partition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M.P. DoCarmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976.
L.A. Bunimovich and Ya.G. Sinai, Markov partitions for dispersed billiards, Commun. Math. Phys. 78(1980), 247–280.
V.J. Donnay, Geodesic flow on the two-sphere, Part I: Positive measure entropy, to appear in Ergodic Theory and Dynamical Systems.
A. Manning, Curvature bounds for the entropy of the geodesic flow on a surface, J. London Math. Soc. 24(1981), 351–357.
Ya.B. Pesin, Lyapunov characteristic exponents and smooth ergodic theory, Russ. Math. Surveys 32(1977), 55–114.
K. Peterson, Ergodic Theory, Cambridge University Press, 1983.
M. Ratner, The central limit theorem for geodesic flows on n-dimensional manifolds of negative curvature, Israel J. Math. 16(1973), 181–197.
Ya.G. Sinai, The central limit theorem for geodesic flows on manifolds of constant negative curvature, Soviet Math. Dokl. 1(1960), 938–987.
Ya.G. Sinai, Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards, Uspeki Mat. Nauk. 25(1970), 141–192; Russ. Math. Surv. 25(1970), 137–189.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Donnay, V.J. (1988). Geodesic flow on the two-sphere part II: Ergodicity. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082827
Download citation
DOI: https://doi.org/10.1007/BFb0082827
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50174-9
Online ISBN: 978-3-540-45946-0
eBook Packages: Springer Book Archive
