An isomorphism theorem for Teichmüller curves

被引：2

作者：

CAI Yongmao SHEN Yuliang Department of Mathematics Suzhou University Suzhou China ^{[215006
]}

机构：

来源：

ScienceinChina(SeriesA:Mathematics) | 2006年 / 05期

关键词：

Teichmuller space; Bers fiber space; Teichmuller curve; biholomorphic isomorphism;

D O I：

暂无

中图分类号：

O186 [微分几何、积分几何];

学科分类号：

0701 ; 070101 ;

摘要：

<正>It is proved that for any Fuchsian group Г such that H/Г is a hyperbolic Riemann surface, the Teichmuller curve V(Г) has a unique complex manifold structure so that the natural projection of the Bers fiber space F(Г) onto V(Г) is holomorphic with local holomorphic sections. An isomorphism theorem for Teichmuller curves is deduced, which generalizes a classical result that the Teichmuller curve V(Г) depends only on the type of Г and not on the orders of the elliptic elements of Г when H/Г is a compact hyperbolic Riemann surface.

引用

页码：577 / 586

页数：10