A quasiconformal mapping class group acting trivially on the asymptotic Teichmuller space

被引：4

作者：

Matsuzaki, Katsuhiko ^{[1
]}

机构：

[1] Okayama Univ, Dept Math, Okayama 7008530, Japan

[2] Ochanomizu Univ, Dept Math, Tokyo 1128610, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 08期

关键词：

analytically infinite Riemann surface; quasiconformal mapping class group; asymptotic Teichmuller space;

D O I：

10.1090/S0002-9939-07-08761-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an analytically infinite Riemann surface R, the quasiconformal mapping class group MCG(R) always acts faithfully on the ordinary Teichmuller space T(R). However in this paper, an example of R is constructed for which MCG(R) acts trivially on its asymptotic Teichmuller space AT(R).

引用

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页码：2573 / 2579

页数：7

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