Linear cocycles over hyperbolic systems and criteria of conformality

Details Linear cocycles over hyperbolic systems and criteria of conformality Linear cocycles over hyperbolic systems and criteria of conformality

2010-08-16

arxiv.org/abs/1008.2563v1

Mathematics

Dynamical Systems

To appear in Journal of Modern Dynamics

Scientific paper

In this paper we study Holder continuous linear cocycles over transitive Anosov diffeomorphisms. Under various conditions of relative pinching we establish properties including existence and continuity of measurable invariant sub-bundles and conformal structures. We use these results to obtain criteria for cocycles to be isometric or conformal in terms of their periodic data. We show that if the return maps at the periodic points are, in a sense, conformal or isometric then so is the cocycle itself with respect to a Holder continuous Riemannian metric.

Affiliated with

Also associated with

No associations

Rating

Linear cocycles over hyperbolic systems and criteria of conformality 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 Linear cocycles over hyperbolic systems and criteria of conformality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear cocycles over hyperbolic systems and criteria of conformality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-176455