pith. sign in

arxiv: 1004.4401 · v2 · submitted 2010-04-26 · 🧮 math.GT

Asymptotics of Weil-Petersson geodesics II: bounded geometry and unbounded entropy

classification 🧮 math.GT
keywords weil-peterssonboundedgeodesicsarbitrarilycombinatoricsentropyequivalentgeodesic
0
0 comments X
read the original abstract

We use ending laminations for Weil-Petersson geodesics to establish that bounded geometry is equivalent to bounded combinatorics for Weil-Petersson geodesic segments, rays, and lines. Further, a more general notion of non-annular bounded combinatorics, which allows arbitrarily large Dehn-twisting, corresponds to an equivalent condition for Weil-Petersson geodesics. As an application, we show the Weil-Petersson geodesic flow has compact invariant subsets with arbitrarily large topological entropy.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.