Topological structure of (partially) hyperbolic sets with positive volume

Details Topological structure of (partially) hyperbolic sets with positive volume Topological structure of (partially) hyperbolic sets with positive volume

2006-03-06

arxiv.org/abs/math/0603148v1

Mathematics

Dynamical Systems

21 pages

Scientific paper

We consider both hyperbolic sets and partially hyperbolic sets attracting a set of points with positive volume in a Riemannian manifold. We obtain several results on the topological structure of such sets for diffeomorphisms whose differentiability is bigger than one. We show in particular that there are no partially hyperbolic horseshoes with positive volume for such diffeomorphisms. We also give a description of the limit set of almost every point belonging to a hyperbolic set or a partially hyperbolic set with positive volume.

Affiliated with

Also associated with

No associations

Rating

Topological structure of (partially) hyperbolic sets with positive volume 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 Topological structure of (partially) hyperbolic sets with positive volume, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological structure of (partially) hyperbolic sets with positive volume will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-44664