Bergman metric on Teichmuller spaces and moduli spaces of curves

被引：0

作者：

Yeung, Sai-Kee ^{[1
]}

机构：

[1] Purdue Univ, Math Dept, W Lafayette, IN 47907 USA

来源：

RECENT PROGRESS ON SOME PROBLEMS IN SEVERAL COMPLEX VARIABLES AND PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 400卷

关键词：

bergman metric; teichmuller space; moduli space; L-2-cohomology;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study geometric properties of the Bergman metric on the moduli space of Riemann surfaces of genus g with n puncture, including geometric finiteness, Kahler hyperbolicity of the Bergman metric related to a question of Gromov and earlier results of McMullen. We also prove the analogue of Zucker's Conjecture on L-2-cohomology with respect to the Bergman metric on the moduli spaces of curves.

引用

页码：203 / 217

页数：15

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