Infinite Deformed Groups and Their Geometrical and Physical Applications

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dc.creatorSamokhvalov, Serhiy E.
dc.date2005-08-14
dc.date.accessioned2026-07-07T05:22:21Z
dc.date.available2026-07-07T05:22:21Z
dc.descriptionIn this article we give the realization of the Klein's Program for geometrical structures (Riemannian spaces and fiber bundles with connection) with arbitrary variable curvature within the framework of infinite deformed groups. These groups generalize gauge groups to the case of nontrivial action on the base space of bundles with use of idea of groups deformations. We also show that infinite deformed groups give a group-theoretic description of gauge fields (gravitational field with its metric or vierbein part similarly to gauge fields of internal symmetry) which is alternative for their geometrical interpretation.
dc.descriptionThis article represent the report presented at the Bogolyubov Kyiv conference "Modern Problems of Mathematics and Theoretical Physics" held at Kyiv (Ukraine), 13-17 September 2004
dc.identifierhttps://arxiv.org/abs/math/0508239
dc.identifierhttp://arxiv.org/abs/math/0508239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76030
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleInfinite Deformed Groups and Their Geometrical and Physical Applications
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