Interpolation spaces and energy quantization for Yang-Mills fields
type: Item
instance of: scholarly article
title: Interpolation spaces and energy quantization for Yang-Mills fields
zbMATH Open document ID: 1018.58006
author: Tristan Rivière
published in: Communications in Analysis and Geometry
publication date: 2003-04-07T00:00:00Z
review text: \textit{G. Tian} [Ann. Math. (2) 151, 193-268 (2000; Zbl 0957.58013)] proved that the defect measure of a weakly converging sequence of Yang-Mills fields on a Riemannian manifold of dimension \(n\geq 4\) is carried by a \((n-4)\)-rectifiable set. In the present paper the author completes the picture in the case \(n=4\) by proving that the defect measure is quantized. This result is extended to any dimension under some additional restrictions.
Mathematics Subject Classification ID: 58E15
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 1893861
zbMATH Keywords: interpolation spaces
zbMATH Keywords: Yang-Mills fields
MaRDI profile type: Publication
full work available at URL: cag.2002.v10.n4.a2
OpenAlex ID: W2702015227
DOI: 10.4310/CAG.2002.V10.N4.A2
description: scientific article; zbMATH DE number 1893861