Liouville properties of harmonic maps
type: Item
instance of: scholarly article
title: Liouville properties of harmonic maps
zbMATH Open document ID: 0849.58023
author: Luen-Fai Tam
published in: Mathematical Research Letters
publication date: 1996-11-10T00:00:00Z
review text: The author gives careful contexts and proofs of several theorems asserting that a harmonic map \(u : M \to N\) between complete Riemannian manifolds must be constant. For instance: \(M\) is quasi-isometric to a noncompact manifold with Ricci curvature \(\geq 0\); \(N\) simply connected with Riemannian sectional curvature \(\leq 0\); and \(u(M)\) suitably small.
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 858520
zbMATH Keywords: Liouville property
zbMATH Keywords: harmonic map
zbMATH Keywords: complete Riemannian manifolds
reviewed by: J. Eells
MaRDI profile type: Publication
full work available at URL: mrl.1995.v2.n6.a5
OpenAlex ID: W2060115022
DOI: 10.4310/MRL.1995.V2.N6.A5
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description: scientific article; zbMATH DE number 858520