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A MODEL OF UNIVERSAL TEICHMÜLLER SPACE AND ITS APPLICATION

Part of: Riemann surfaces

Published online by Cambridge University Press:  01 February 2008

YUEMING KANG ,
TAO CHENG  and
JIXIU CHEN
YUEMING KANG
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai 200433, China (email: [email protected], [email protected])
TAO CHENG
Affiliation:
Department of Mathematics, Jiangxi Normal University, Nanchang 330027, China (email: [email protected])
JIXIU CHEN
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai 200433, China (email: [email protected], [email protected])
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Abstract

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In this paper, one model of the universal Teichmüller space is studied. By the method of construction, the lower bound of the inner radius of univalency by the Pre-Schwarzian derivative of quasidisks with infinity as an inner point (such as domains bounded by ellipses) is obtained.

Keywords

Pre-Schwarzian derivativeinner radius of univalencyuniversal Teichmüller spacequasiconformal extension

MSC classification

Secondary: 30F60: Teichmüller theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 1 , February 2008 , pp. 21 - 30
Copyright
Copyright © Australian Mathematical Society 2008

References

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