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 language | English (US) |
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Pages (from-to) | 1-12 |
Number of pages | 12 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 3 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1983 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics