On classification of resonance-free Anosov Z^k actions

Details On classification of resonance-free Anosov Z^k actions On classification of resonance-free Anosov Z^k actions

2006-08-23

arxiv.org/abs/math/0608562v2

Mathematics

Dynamical Systems

20 pages. To appear in Michigan Mathematical Journal

Scientific paper

We consider actions of Z^k, k \ge 2, by Anosov diffeomorphisms which are uniformly quasiconformal on each coarse Lyapunov distribution. These actions generalize Cartan actions for which coarse Lyapunov distributions are one-dimensional. We show that, under certain non-resonance assumptions on the Lyapunov exponents, a finite cover of such an action is smoothly conjugate to an action by toral automorphisms.

Affiliated with

Also associated with

No associations

Rating

On classification of resonance-free Anosov Z^k actions 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 On classification of resonance-free Anosov Z^k actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On classification of resonance-free Anosov Z^k actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-110116