Hyperbolic Lambert quadrilaterals and quasiconformal mappings
type: Item
instance of: scholarly article
title: Hyperbolic Lambert quadrilaterals and quasiconformal mappings
zbMATH Open document ID: 1307.51012
publication date: 2013-11-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1203.6494
Mathematics Subject Classification ID: 51M09
Mathematics Subject Classification ID: 51M15
zbMATH DE Number: 6225479
zbMATH Keywords: quasiconformal mapping
zbMATH Keywords: hyperbolic Lambert quadrilateral
author: M. Vuorinen
author: Gendi Wang
MaRDI profile type: Publication
OpenAlex ID: W3100783496
arXiv ID: 1203.6494
DOI: 10.5186/AASFM.2013.3845
published in: Annales Academiae Scientiarum Fennicae. Mathematica
review text: In this paper under review, the authors give upper bounds for the product and the sum of distances between the opposite sides of a hyperbolic Lambert quadrilateral. Here, a hyperbolic Lambert quadrilateral is a quadrilateral in the hyperbolic plane with three right interior angles. The bounds are all sharp in the sense that there exist some examples only for which the equalities hold. From these, similar bounds are obtained for ideal hyperbolic quadrilaterals. Also, for the images of such quadrilaterals under quasi-conformal mappings, the same expressions are studied.
reviewed by: Kazuhiro Ichihara
description: scientific article; zbMATH DE number 6225479