Brouwer degrees of the gradient maps of isoparametric functions
type: Item
instance of: scholarly article
title: Brouwer degrees of the gradient maps of isoparametric functions
zbMATH Open document ID: 0874.58011
published in: Chinese Science Bulletin
publication date: 1997-03-06T00:00:00Z
review text: Let \(f:\mathbb{R}^{n+2}\to \mathbb{R}\) be an isoparametric polynomial of degree \(k\) and \(\Phi:\mathbb{R}^{n+2}\to \mathbb{R}^{n+2}\) the associated homogeneous map, \(\Phi={1\over k}\nabla f\). The author studies the relationship between the tangent map of \(\Phi\) and the Hessian of \(f\), finds a certain decomposition of \(f\) and calculates the degree of \(\Phi\).
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 987522
zbMATH Keywords: Brouwer degree
zbMATH Keywords: harmonic map
zbMATH Keywords: isoparametric polynomial
author: Ruizhi Guo
reviewed by: Dušan Repovš
MaRDI profile type: Publication
Recommended article: Brouwer degrees of gradient maps of isoparametric functions
Recommended article: Degree for equivariant gradient maps
Recommended article: Q3977976
Recommended article: Degrees of Maps between Isotropic Grassmann Manifolds
Recommended article: Q4347865
Recommended article: A note on generalized degree for generalized gradient mappings
Recommended article: A new degree for \(S^ 1\)-invariant gradient mappings and applications
Recommended article: Q3029853
Recommended article: Brouwer degree of polynomial maps
Recommended article: Equivariant Conley index versus degree for equivariant gradient maps
description: scientific article; zbMATH DE number 987522