Dynamical properties of the Weil-Petersson metric
Dynamical Systems
2009-01-28 v1 Geometric Topology
Abstract
Let S be a non-exceptional oriented surface of finite type. We discuss the action of subgroups of the mapping class group of S on the CAT(0)-boundary of the completion of Teichmueller space with respect to the Weil-Petersson metric. We show that the set of invariant Borel probability measures for the Weil-Petersson flow on moduli space which are supported on closed orbits is dense in the space of invariant Borel probability measures.
Keywords
Cite
@article{arxiv.0901.4301,
title = {Dynamical properties of the Weil-Petersson metric},
author = {Ursula Hamenstadt},
journal= {arXiv preprint arXiv:0901.4301},
year = {2009}
}
Comments
8 pages, 1 figure