Entropy estimates for geodesic flows

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)513-524
Number of pages12
JournalErgodic Theory and Dynamical Systems
Volume2
Issue number3-4
DOIs
StatePublished - Dec 1982
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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