How the curvature generates the holonomy of a connection in an arbitrary fibre bundle
type: Item
instance of: scholarly article
title: How the curvature generates the holonomy of a connection in an arbitrary fibre bundle
zbMATH Open document ID: 1113.53019
author: Eva Wilhelmus
author: Helmut Reckziegel
published in: Results in Mathematics
publication date: 2007-02-15T00:00:00Z
review text: For an arbitrary fibre bundle with a connection, it is shown how the parallel displacement along a null-homotopic loop can be obtained from the curvature by integration. The Ambrose-Singer theorem is a corollary of this general setting.
reviewed by: Maido Rahula
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 53C29
zbMATH DE Number: 5127418
zbMATH Keywords: connection on a arbitrary fibre bundle
zbMATH Keywords: curvature, holonomy
zbMATH Keywords: Ambrose-Singer theorem
MaRDI profile type: Publication
full work available at URL: s00025-006-0228-y
OpenAlex ID: W2080027759
Wikidata QID: Q125289284
DOI: 10.1007/S00025-006-0228-Y
description: scientific article; zbMATH DE number 5127418