Kleinian groups and John domains
type: Item
instance of: scholarly article
title: Kleinian groups and John domains
zbMATH Open document ID: 0897.30021
DOI: 10.1016/S0040-9383(97)00039-6
author: Curtis T. McMullen
published in: Topology
publication date: 1998-04-13T00:00:00Z
review text: A region \(U\) in the Riemann sphere is a John domain if every point in \(U\) can be reached from a fixed basepoint by a flexible cone with a definite angle at its vertex. For every nonelementary, finitely, generated Kleinian group \(\Gamma\), the sphere is naturally partitioned into a limit set \(\Lambda\) and a domain of discontinuity \(\Omega\). In this paper, it is characterized when components \(U\) of \(\Omega\) are John domains and when they are uniformly connected.
Mathematics Subject Classification ID: 30F40
zbMATH DE Number: 1140350
zbMATH Keywords: conformal dynamics
zbMATH Keywords: John domain
zbMATH Keywords: Kleinian group
reviewed by: Steffen Timmann
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1140350