Weil-Petersson isometries via the pants complex
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
We extend a theorem of Masur and Wolf which says that given a hyperbolic surface S, every isometry of the Teichmuller space for S with the Weil-Petersson metric is induced by an element of the mapping class group for S. Our argument handles the previously untreated cases of the four-holed sphere, the one-holed torus, and the two-holed torus.
Keywords
Cite
@article{arxiv.math/0412499,
title = {Weil-Petersson isometries via the pants complex},
author = {Jeffrey Brock and Dan Margalit},
journal= {arXiv preprint arXiv:math/0412499},
year = {2007}
}
Comments
11 pages, 2 figures