Configuration space of surface-surface contact
type: Item
instance of: scholarly article
title: Configuration space of surface-surface contact
zbMATH Open document ID: 0963.53028
DOI: 10.1023/A:1005263514044
author: J. Wallner
published in: Geometriae Dedicata
publication date: 2000-01-01T00:00:00Z
review text: Let \(X\) be a space of constant curvature and let \(F_1\) and \(F_2\) be surfaces in \(X\). Let \(G=\text{Isom}(X)\) be a group of isometries of the space \(X\). The set \(C=\{g\in G\mid g(F_1)\) touches \(F_2\}\) is called the configuration space of surface-surface contact. The author investigates when the set \(C\) is an immersed submanifold and when it is an embedded submanifold.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 58D19
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 1485583
zbMATH Keywords: contact of surfaces
zbMATH Keywords: space of constant curvature
zbMATH Keywords: configuration space
reviewed by: V. T. Fomenko
MaRDI profile type: Publication
full work available at URL: a:1005263514044
OpenAlex ID: W31711286
description: scientific article; zbMATH DE number 1485583