Stable harmonic maps from pinched manifolds
type: Item
instance of: scholarly article
title: Stable harmonic maps from pinched manifolds
zbMATH Open document ID: 0646.58017
DOI: 10.1007/BF02570752
published in: Mathematische Zeitschrift
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174143
review text: It is proved that for \(n\geq 3\) there exists a constant \(\delta\) (n) with \(1/4\leq \delta (n)<1\) such that if M is a simply connected Riemannian manifold of dimension n with \(\delta\) (n)-pinched curvatures then for every Riemannian manifold N every stable harmonic map \(\phi\) : \(M\to N\) is constant. The proof is completely different from that of the author's previous paper and here the pinching constants are easy to compute by elementary functions.
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 4054647
zbMATH Keywords: stable harmonic map
zbMATH Keywords: pinched Riemannian manifold
author: Yanglian Pan
MaRDI profile type: Publication
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cites work: The nonexistence of stable submanifolds, varifolds, and harmonic maps in sufficiently pinched simply connected Riemannian manifolds
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cites work: Pinching and nonexistence of stable harmonic maps
cites work: Q3665921
cites work: Non-Existence of Stable Harmonic Maps from Sufficiently Pinched Simply Connected Riemannian Manifolds
cites work: Some results on stable harmonic maps
OpenAlex ID: W2029620542
description: scientific article; zbMATH DE number 4054647