A partial regularity result of harmonic maps from manifolds with bounded measurable Riemannian metrics
type: Item
instance of: scholarly article
title: A partial regularity result of harmonic maps from manifolds with bounded measurable Riemannian metrics
zbMATH Open document ID: 0864.58014
author: Yuguang Shi
published in: Communications in Analysis and Geometry
publication date: 1996-11-07T00:00:00Z
review text: Suppose \(M\) is an \(n\)-dimensional differentiable manifold with Riemannian metric tensor \(g\). If the components \(g_{ij}\) of \(g\) in each coordinate \(\text{chart}D\) belong merely to \(L^\infty(D,R)\), then \(g\) is called a bounded measurable Riemannian metric. In this paper, the author proves partial regularity results of energy minimizing maps from manifolds with bounded measurable Riemannian metrics to a smooth compact Riemannian manifold. The \((n-2)\)-dimensional Hausdorff measure of the singular set of the map is also obtained.
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 929679
zbMATH Keywords: harmonic map
zbMATH Keywords: bounded measurable Riemannian metric
zbMATH Keywords: regularity
zbMATH Keywords: energy minimizing maps
reviewed by: Yanglian Pan
MaRDI profile type: Publication
Wikidata QID: Q115205774
full work available at URL: cag.1996.v4.n1.a2
OpenAlex ID: W2625540485
DOI: 10.4310/CAG.1996.V4.N1.A2
description: scientific article; zbMATH DE number 929679