Hyperbolicity in Teichmüller space

Details Hyperbolicity in Teichmüller space Hyperbolicity in Teichmüller space

2010-11-27

arxiv.org/abs/1011.6004v1

Mathematics

Geometric Topology

26 pages, 2 figures

Scientific paper

We review and organize some results describing the behavior of a Teichm\"uller geodesic and draw several applications: 1) We show that Teichm\"uller geodesics do not back track. 2) We show that a Teichm\"uller geodesic segment whose endpoints are in the thick part has the fellow travelling property. This fails when the endpoints are not necessarily in the thick part. 3) We show that if an edge of a Teichm\"uller geodesic triangle passes through the thick part, then it is close to one of the other egdes.

Affiliated with

Also associated with

No associations

Rating

Hyperbolicity in Teichmüller space 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 Hyperbolicity in Teichmüller space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolicity in Teichmüller space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321263