Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime. II
type: Item
instance of: scholarly article
title: Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime. II
zbMATH Open document ID: 0663.58008
DOI: 10.1007/BF00402144
author: Siye Wu
author: He-Sheng Hu
published in: Letters in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: We continue the study of the nonexistence of static pure Yang-Mills fields and harmonic maps defined on the Schwarzschild spacetime outside the black hole. Both the conditions on the regions and on the energy density are improved. For the case of harmonic maps, the region is precisely the best one, i.e., \(r\geq 2M\), as was conjectured in [ibid., No.3, 253-262 (1987; Zbl 0646.58016)].
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 85A99
zbMATH DE Number: 4084595
zbMATH Keywords: static pure Yang-Mills fields
zbMATH Keywords: harmonic maps
zbMATH Keywords: Schwarzschild spacetime
zbMATH Keywords: black hole
MaRDI profile type: Publication
cites work: A nonexistence theorem for harmonic maps with slowly divergent energy
cites work: A Report on Harmonic Maps
description: scientific article; zbMATH DE number 4084595