Hyperbolic behaviour of geodesic flows on manifolds with no focal points

Keith Burns*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

It is shown that the unit tangent bundle of a compact uniform visibility manifold with no focal points contains a subset of positive Liouville measure on which all the characteristic exponents of the geodesic flow (except in the flow direction) are non-zero. This completes Pesin's proof that the geodesic flow of such a manifold is Bernoulli.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalErgodic Theory and Dynamical Systems
Volume3
Issue number1
DOIs
StatePublished - Mar 1983

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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