Affinity of angle preserving mappings
type: Item
instance of: scholarly article
title: Affinity of angle preserving mappings
zbMATH Open document ID: 1030.51015
author: Olga Frolkina
published in: Moscow University Mathematics Bulletin
publication date: 2003-09-08T00:00:00Z
review text: It is proved that the preservation of an angle (nonzero and nonstraight) is sufficient for a mapping \(\mathbb{R}^2\to \mathbb{R}^2\) to be a similarity. In terms of circle-preserving mappings a criterion is given for the fact that the mapping of an \(n\)-dimensional space into itself is a similarity.
Mathematics Subject Classification ID: 51M05
Mathematics Subject Classification ID: 51N10
zbMATH DE Number: 1977046
zbMATH Keywords: angle-preserving mappings
zbMATH Keywords: similarity
zbMATH Keywords: circle-preserving mapping
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1977046