Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows

Details Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows

2011-10-11

arxiv.org/abs/1110.2365v2

Mathematics

Dynamical Systems

29 pages. Small error in statement of Theorem A corrected from previous version ("k points" replaced by "k orbits")

Scientific paper

We consider volume-preserving perturbations of the time-one map of the
geodesic flow of a compact surface with negative curvature. We show that if the
Liouville measure has Lebesgue disintegration along the center foliation then
the perturbation is itself the time-one map of a smooth volume-preserving flow,
and that otherwise the disintegration is necessarily atomic.

Affiliated with

Also associated with

No associations

Rating

Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-471968