Kobayashi's and Teichmüller's metrics on the Teichmüller space of symmetric circle homeomorphisms
type: Item
instance of: scholarly article
title: Kobayashi's and Teichmüller's metrics on the Teichmüller space of symmetric circle homeomorphisms
zbMATH Open document ID: 1220.30064
author: Hu Jun
author: Yunping Jiang
author: Zhe Wang
publication date: 2011-04-06T00:00:00Z
review text: In this short paper, the authors give a direct proof of the equality of the Kobayashi and Teichmüller metrics on the space of all symmetric orientation-preserving homeomorphisms of the unit circle modulo the space of all Möbius transformations preserving the unit circle, a result previously proved by \textit{C. J. Earle, F. P. Gardiner} and \textit{N. Lakic} [Contemporary Mathematics 355, 187--219 (2004; Zbl 1112.30034)] as a consequence of the general theory of Teichmüller spaces.
reviewed by: Marco Abate
Mathematics Subject Classification ID: 30F60
Mathematics Subject Classification ID: 32G15
Mathematics Subject Classification ID: 32Q45
Mathematics Subject Classification ID: 37F30
zbMATH DE Number: 5875350
zbMATH Keywords: universal asymptotically conformal Teichmüller space
zbMATH Keywords: Teichmüller metric
zbMATH Keywords: Kobayashi metric
MaRDI profile type: Publication
full work available at URL: s10114-011-9045-7
OpenAlex ID: W2008169497
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DOI: 10.1007/S10114-011-9045-7
published in: Acta Mathematica Sinica, English Series
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description: scientific article