Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces
type: Item
instance of: scholarly article
title: Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces
zbMATH Open document ID: 0965.30018
DOI: 10.1007/BF02897849
author: GuiZhen Cui
published in: Science in China. Series A
publication date: 2000-11-16T00:00:00Z
review text: A quasisymmetric homeomorphism of the unit circle \(S'\) is said to be integrably asymptotic affine if it admits a quasiconformal extension into the unit disk such that its complex dilatation is square integrable with the Poincaré metric on the unit disc. Let \(QS_*(S')\) be the space of such quasisymmetric homeomorphisms of \(S\)! In this paper, some characterizations of maps in \(QS_*(S')\) are given. The Weil-Petersson metric is introduced to \(QS_*(S')/ \text{Möb}(S')\) and it is shown that this metric is complete.
reviewed by: Zhong Li
Mathematics Subject Classification ID: 30F60
zbMATH DE Number: 1531247
zbMATH Keywords: Teichmüller space
zbMATH Keywords: quasiconformal extension
zbMATH Keywords: Weil-Petersson metric
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1531247