Weil-Petersson isometries via the pants complex

被引：13

作者：

Brock, Jeffrey ^{[1
]}

Margalit, Dan ^{[1
]}

机构：

[1] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 03期

关键词：

Teichmuller space; Weil-Petersson metric; isometries; mapping class groups;

D O I：

10.1090/S0002-9939-06-08577-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend a theorem of Masur-Wolf which states that given finite-area 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 times-punctured sphere, the once-punctured torus, and the twice-punctured torus.

引用

页码：795 / 803

页数：9

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