The limiting shape of one-dimensional Teichmuller spaces

被引：0

作者：

Sugawa, Toshiyuki ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 08期

关键词：

cardioid; Teichmuller space; holomorphic motion; once-punctured torus;

D O I：

10.1090/S0002-9939-08-09428-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Bers embedding of the Teichmuller space of a once-punctured torus converges to the cardioid in the sense of Caratheodory up to rotation when the base torus goes to the boundary of its moduli space.

引用

页码：2849 / 2858

页数：10

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