Structure groups and holonomy in infinite dimensions

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dc.creatorMagnot, Jean-Pierre
dc.date2002-12-11
dc.date.accessioned2026-07-07T04:53:42Z
dc.date.available2026-07-07T04:53:42Z
dc.descriptionIn this article, we give a theorem of reduction of the structure group of a principal bundle P with regular structure group G. Then, when G is in the classes of Lie groups defined by T.Robart [13], we define the closed holonomy group of a connection as the minimal closed Lie subgroup of G for which the previous theorem of reduction can be applied. We also prove an infinite dimensional version of the Ambrose-Singer theorem: the Lie algebra of the holonomy group is spanned by the curvature elements.
dc.description15 pages, no figure
dc.identifierhttps://arxiv.org/abs/math/0212160
dc.identifierhttp://arxiv.org/abs/math/0212160
dc.identifierBull. Sci. Math. 128 (2004) 513-529
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65960
dc.subjectDifferential Geometry
dc.subject58B99; 53C29
dc.titleStructure groups and holonomy in infinite dimensions
dc.typetext

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