NDLI: Spirals and the Asymptotic Teichmüller Space

Content Provider	Springer Nature Link
Author	Miyachi, Hideki
Copyright Year	2014
Abstract	In this paper, we will study the Bers density problem for the asymptotic Teichmüller space of the unit disk. We first observe that Gehring’s spiral domain is asymptotically equivalent to a Jordan domain in the closure of the universal Teichmüller space. We will also show that the asymptotic class of Flinn’s domain is not in the closure of the asymptotic Teichmüller space. This answers in the negative the Bers density problem for the asymptotic Teichmüller space.
Starting Page	609
Ending Page	622
Page Count	14
File Format	PDF
ISSN	16179447
Journal	Computational Methods and Function Theory
Volume Number	14
Issue Number	2-3
e-ISSN	21953724
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-06-03
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computational Mathematics and Numerical Analysis Functions of a Complex Variable Asymptotic Teichmüller space Bers embedding Conformal mappings of special domains Quasiconformal mappings in ${\bf R}^n$, other generalizations Quasiarcs Jordan domains Analysis Moduli of Riemann surfaces, Teichmüller theory Teichmüller space Teichmüller theory Quasiconformal mappings in the plane
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Theory and Mathematics Analysis

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Spirals and the Asymptotic Teichmüller Space