Equivariant degree for Abelian actions. III: Orthogonal maps
type: Item
instance of: scholarly article
title: Equivariant degree for Abelian actions. III: Orthogonal maps
zbMATH Open document ID: 0941.58005
DOI: 10.12775/TMNA.1999.006
author: J. Ize
author: A. Vignoli
published in: Topological Methods in Nonlinear Analysis
publication date: 2000-08-03T00:00:00Z
review text: The paper represents the third part of the study of the equivariant degree for abelian actions. The authors study orthogonal equivariant maps, in particular gradients and Hamiltonians. Section 1 is devoted to the construction of the degree, first for gradients and then for orthogonal maps. Section 2 contains the main result. In Section 3, the authors extend the degree to infinite dimensions and compare it to the ``normal map'' approach. In Section 4, they compute the index of an isolated orbit and, in Section 5, they study bifurcation. Section 6 treats Hamiltonians. [For part I and II see the authors, ibid. 2, No. 2, 367-413 (1993; Zbl 0815.58004) and ibid. 7, No. 2, 369-430 (1996; Zbl 0899.58004)].
Mathematics Subject Classification ID: 58B05
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 54F45
Mathematics Subject Classification ID: 55Q91
Mathematics Subject Classification ID: 58E09
zbMATH DE Number: 1370309
zbMATH Keywords: equivariant degree
zbMATH Keywords: abelian actions
reviewed by: Vasil G. Angelov
MaRDI profile type: Publication
Recommended article: Equivariant degree for abelian actions. II: Index computations
Recommended article: Equivariant degree for abelian actions. I: Equivariant homotopy groups
Recommended article: Degree Theory for Equivariant Maps. I
Recommended article: The degree of equivariant maps
Recommended article: Q3973660
Recommended article: Degree theory for equivariant maps, the general 𝑆¹-action
Recommended article: Q4521573
Recommended article: Q3336374
Recommended article: Q3833287
Recommended article: Q3742349
description: scientific article; zbMATH DE number 1370309