Quasiconformal distortion on arcs
type: Item
instance of: scholarly article
title: Quasiconformal distortion on arcs
zbMATH Open document ID: 0804.30016
DOI: 10.1007/BF03008418
author: Juha Heinonen
author: Raimo Näkki
published in: Journal d'Analyse Mathématique
publication date: 1995-01-19T00:00:00Z
review text: This paper is a nicely written study of various generalizations, extensions, and ramifications of the Hayman-Gehring theorem. This theorem states that given two points \(a,b\) in a simply connected plane domain, the hyperbolic geodesic segment joining \(a\) to \(b\) is essentially the shortest among all curves joining \(a\) to \(b\). Some of the results deal with the case of domains in \(R^ n\) and in this case the quasihyperbolic metric is used in place of the hyperbolic metric.
reviewed by: M. Vuorinen
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 569415
zbMATH Keywords: distortion theorems
zbMATH Keywords: quasihyperbolic metric
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03008418
OpenAlex ID: W2047669713
description: scientific article; zbMATH DE number 569415