Critical points of the distance function on the moduli space for spherical eigenmaps and minimal immersions
type: Item
instance of: scholarly article
title: Critical points of the distance function on the moduli space for spherical eigenmaps and minimal immersions
zbMATH Open document ID: 1073.53080
published in: Beiträge zur Algebra und Geometrie
publication date: 2004-09-01T00:00:00Z
full work available at URL: https://eudml.org/doc/222904
full work available at URL: 26.html
review text: The author studies the critical points of the distance function on the boundary strata defined by the boundary of a do Carmo-Wallach moduli space parametrizing eigenmaps between spheres or spherical minimal immersions. The author shows that the critical points provide a natural generalization of eigenmaps and he points out several classical examples of eigenmaps corresponding to critical points. The main results on critical points are contained in theorems A--D and the applications to do Carmo-Wallach moduli spaces are given in theorems E--F of section 2.
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 2096250
zbMATH Keywords: distance function
zbMATH Keywords: modulispace
zbMATH Keywords: eigenmap
zbMATH Keywords: minimal immersion
zbMATH Keywords: do Carmo-Wallach moduli spaces
author: Gábor Tóth
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2096250