Optimal regularity of harmonic maps from a Riemannian manifold into a static Lorentzian manifold
type: Item
instance of: scholarly article
title: Optimal regularity of harmonic maps from a Riemannian manifold into a static Lorentzian manifold
zbMATH Open document ID: 0884.58031
author: Takeshi Isobe
published in: Pacific Journal of Mathematics
publication date: 1998-03-22T00:00:00Z
review text: The energy functional for maps from a Riemannian manifold into a static Lorentzian manifold is indefinite. A bounded below functional \({\mathcal F}\) is introduced to be a restriction of the energy. To the minimizing \({\mathcal F}\) maps, the regularity result of Schoen-Uhlenbeck for harmonic maps between Riemannian manifolds is extended. New difficulty comes from the fact that \({\mathcal F}\) is not local.
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 1054049
zbMATH Keywords: harmonic maps
zbMATH Keywords: regularity
zbMATH Keywords: monotonicity
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: static Lorentzian manifold
reviewed by: Kung Ching Chang
MaRDI profile type: Publication
full work available at URL: pjm.1997.178.71
OpenAlex ID: W2167833282
Wikidata QID: Q115230694
DOI: 10.2140/PJM.1997.178.71
description: scientific article; zbMATH DE number 1054049