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Generalised connections and curvature

Published online by Cambridge University Press:  21 October 2005

MICHAEL KUNZINGER ,
ROLAND STEINBAUER  and
JAMES A VICKERS
MICHAEL KUNZINGER
Affiliation:
Department of Mathematics, University of Vienna, Strudlhofg. 4, A-1090 Wien, Austria. e-mail [email protected]@univie.ac.at
ROLAND STEINBAUER
Affiliation:
Department of Mathematics, University of Vienna, Strudlhofg. 4, A-1090 Wien, Austria. e-mail [email protected]@univie.ac.at
JAMES A VICKERS
Affiliation:
School of Mathematics, University of Southampton, Highfield, Southampton SO17 1BJ. e-mail [email protected]
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 3 , November 2005 , pp. 497 - 521
Copyright
2005 Cambridge Philosophical Society

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