Regularity of minimizing harmonic maps into \(S^ 4\), \(S^ 5\) and symmetric spaces
type: Item
instance of: scholarly article
title: Regularity of minimizing harmonic maps into \(S^ 4\), \(S^ 5\) and symmetric spaces
zbMATH Open document ID: 0788.58017
DOI: 10.1007/BF01459734
author: Takashi Okayasu
published in: Mathematische Annalen
publication date: 1994-05-31T00:00:00Z
full work available at URL: https://eudml.org/doc/165170
review text: We prove that for \(n=4\), 5 every energy minimizing map from a manifold \(M\) of dimension \(n\) into the Euclidean sphere \(S^ n\) is regular in the interior of \(M\). This improves a result of R. Schoen and K. Uhlenbeck. We also prove a Liouville type theorem for smooth stable harmonic maps from noncompact complete Riemannian manifolds with nonnegative Ricci curvature into \(S^ n\).
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 537316
zbMATH Keywords: minimizing harmonic maps
zbMATH Keywords: regularity
zbMATH Keywords: Kato's inequality
zbMATH Keywords: stability
MaRDI profile type: Publication
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Wikidata QID: Q125685199
description: scientific article; zbMATH DE number 537316