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Entropy estimates for geodesic flows

Published online by Cambridge University Press:  19 September 2008

P. Sarnak
P. Sarnak
Affiliation:
Courant Institute for Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA
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Abstract

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Let M be a compact Riemannian manifold of (variable) negative curvature. Let h be the topological entropy and hμ the measure entropy for the geodesic flow on the unit tangent bundle to M. Estimates for h and hμ in terms of the ‘geometry’ of M are derived. Connections with and applications to other geometric questions are discussed.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 513 - 524
Copyright
Copyright © Cambridge University Press 1982

References

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