Unit vector fields on spheres, which are harmonic maps
type: Item
instance of: scholarly article
title: Unit vector fields on spheres, which are harmonic maps
zbMATH Open document ID: 0891.53024
DOI: 10.1007/PL00004369
author: Dongsoong Han
author: Jin-Whan Yim
published in: Mathematische Zeitschrift
publication date: 1998-02-01T00:00:00Z
review text: The authors show that the Hopf vector fields on the spheres \(S^{2n+1}\) are harmonic maps from the sphere into the unit tangent bundle \(US^{2n+1}\) with the Sasaki metric. For the special case of the three-dimensional unit round sphere it is shown that the Hopf vector field is the only harmonic map into the unit tangent bundle.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 1111619
zbMATH Keywords: 3-sphere
zbMATH Keywords: odd-dimensional spheres
zbMATH Keywords: unit vector fields
zbMATH Keywords: harmonic maps
zbMATH Keywords: unit tangent bundle
reviewed by: M. Fuchs
MaRDI profile type: Publication
full work available at URL: pl00004369
OpenAlex ID: W1997679827
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description: scientific article; zbMATH DE number 1111619