Symmetric harmonic maps between spheres
type: Item
instance of: scholarly article
title: Symmetric harmonic maps between spheres
zbMATH Open document ID: 0672.58009
DOI: 10.1007/BF01221113
author: Weiyei Ding
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: \textit{R. T. Smith} [Am. J. Math. 97, 364-385 (1975; Zbl 0321.57020)] studied the problem of existence of harmonic maps between Euclidean spheres. The harmonic maps he constructed are of a very special type. The author in this paper completely solves the problem of existence of harmonic maps of Smith's type. Some similar results in this problem had been obtained by \textit{V. Pettinati} and \textit{A. Ratto} [Existence and nonexistence results for harmonic maps between spheres (to appear)], using completely different methods.
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 4100213
zbMATH Keywords: homotopy
zbMATH Keywords: infimum
zbMATH Keywords: minimizing sequence
zbMATH Keywords: Euler-Lagrange equation
zbMATH Keywords: harmonic maps of Smith's type
reviewed by: Michael Th. Rassias
MaRDI profile type: Publication
cites work: A Report on Harmonic Maps
cites work: Q3933274
cites work: Lusternik-Schnirelman theory on Banach manifolds
cites work: Q3753162
cites work: Harmonic Mappings of Spheres
cites work: Seminar on Differential Geometry. (AM-102)
description: scientific article; zbMATH DE number 4100213