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Generalised connections and curvature

Generalised connections and curvature
Generalised connections and curvature
The concept of generalised (in the sense of Colombeau) connection on a principal fibre bundle is introduced. This definition is then used to extend results concerning the geometry of principal fibre bundles to those that only have a generalised connection. Some applications to singular solutions of Yang–Mills theory are given.
0305-0041
497-521
Kunzinger, Michael
5ee9f681-a923-4fb5-b1c8-9454237dd721
Steinbauer, Roland
053836b9-b9d0-4a1d-93b1-06500bc87b17
Vickers, James A.
719cd73f-c462-417d-a341-0b042db88634
Kunzinger, Michael
5ee9f681-a923-4fb5-b1c8-9454237dd721
Steinbauer, Roland
053836b9-b9d0-4a1d-93b1-06500bc87b17
Vickers, James A.
719cd73f-c462-417d-a341-0b042db88634

Kunzinger, Michael, Steinbauer, Roland and Vickers, James A. (2005) Generalised connections and curvature. Mathematical Proceedings of the Cambridge Philosophical Society, 139 (3), 497-521. (doi:10.1017/S0305004105008649).

Record type: Article

Abstract

The concept of generalised (in the sense of Colombeau) connection on a principal fibre bundle is introduced. This definition is then used to extend results concerning the geometry of principal fibre bundles to those that only have a generalised connection. Some applications to singular solutions of Yang–Mills theory are given.

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Published date: 2005

Identifiers

Local EPrints ID: 29338
URI: http://eprints.soton.ac.uk/id/eprint/29338
ISSN: 0305-0041
PURE UUID: 1037248f-8104-4157-a356-e9966fad062f
ORCID for James A. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

Catalogue record

Date deposited: 12 May 2006
Last modified: 16 Mar 2024 02:34

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Contributors

Author: Michael Kunzinger
Author: Roland Steinbauer
Author: James A. Vickers ORCID iD

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