A remark on the stability of Yang-Mills connections
type: Item
instance of: scholarly article
title: A remark on the stability of Yang-Mills connections
zbMATH Open document ID: 0637.53068
author: Shigeo Kawai
published in: Kodai Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: In this brief note the author extends arguments due to J. Simons [see the reviewer and \textit{H. B. Lawson jun.}, Commun. Math. Phys. 79, 189-230 (1981; Zbl 0475.53060)] on the instability of any non-flat Yang-Mills connection over the standard sphere S n (n\(\geq 5)\) to sufficiently convex hypersurfaces in \({\mathbb{R}}^{n+1}\).
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 58E99
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 4038709
zbMATH Keywords: Yang-Mills connection
zbMATH Keywords: convex hypersurfaces
reviewed by: Jean Pierre Bourguignon
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138037154
OpenAlex ID: W2071008838
cites work: Stability and isolation phenomena for Yang-Mills fields
cites work: Stability and gap phenomena for Yang-Mills fields
cites work: On stable currents and their application to global problems in real and complex geometry
cites work: Notes on stable currents
cites work: Conformal fields and stability
cites work: Some results on stable harmonic maps
DOI: 10.2996/KMJ/1138037154
description: scientific article; zbMATH DE number 4038709