Weil-Petersson isometries via the pants complex

Details Weil-Petersson isometries via the pants complex Weil-Petersson isometries via the pants complex

2004-12-27

arxiv.org/abs/math/0412499v1

Mathematics

Differential Geometry

11 pages, 2 figures

Scientific paper

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.

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