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The asymptotic Teichmüller space and the asymptotic Grunsky map

Published online by Cambridge University Press:  21 May 2010

Yuliang Shen
Yuliang Shen
Affiliation:
Department of Mathematics, Soochow University, Suzhou 215006, People's Republic of China (ylshen@suda.edu.cn)
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Abstract

The Grunsky map is known to be holomorphic on the universal Teichmüller space. In this paper it is proved that the Grunsky map induces a holomorphic map on the asymptotic Teichmüller space. The Caratháodory and Kobayashi metrics on the asymptotic Teichmüller space are studied as applications.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 3 , June 2010 , pp. 651 - 672
Copyright
Copyright © Royal Society of Edinburgh 2010

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