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
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.
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页码:795 / 803
页数:9
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