Yang-Mills connections in orthonormal frame bundle over \(SU(2)\)
type: Item
instance of: scholarly article
title: Yang-Mills connections in orthonormal frame bundle over \(SU(2)\)
zbMATH Open document ID: 0811.53022
author: Joon-Sik Park
published in: Tsukuba Journal of Mathematics
publication date: 1994-12-19T00:00:00Z
review text: The following theorem is proved: Let \(g\) be a left invariant Riemannian metric on SU(2). Then the connection form in the orthogonal frame bundle defined by the Levi-Civita connection of \(g\) becomes a Yang-Mills connection iff \(g\) is bi-invariant.
reviewed by: Lajos Tamássy
Mathematics Subject Classification ID: 53C07
zbMATH DE Number: 701558
zbMATH Keywords: connections in orthonormal frame bundles
zbMATH Keywords: Yang-Mills connections
zbMATH Keywords: left invariant Riemannian metric
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496162465
OpenAlex ID: W329483910
DOI: 10.21099/TKBJM/1496162465
description: scientific article; zbMATH DE number 701558