Principal bundles and connections modelled by Lie group bundles

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Castrillón López, Marco and Rodríguez Abella, Álvaro (2022) Principal bundles and connections modelled by Lie group bundles. (Unpublished)

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Abstract

In this work, generalized principal bundles modelled by Lie group bundle actions are investigated.In particular, definition of equivariant connections in these bundles, associated to Lie group bundle connections, is provided, together with the analysis of their existence and their main properties. The final part gives some examples. In particular, since this research was initially originated by some problems on geometric reduction of gauge field theories, we revisit the classical Utiyama Theorem from the perspective investigated in the article.


Item Type:Article
Uncontrolled Keywords:Ehresmann connection; Fiberwise action; Lie group bundle; Parallel transport; Generalized principal bundle; Utiyama Theorem
Subjects:Sciences > Mathematics > Differential geometry
Sciences > Mathematics > Group Theory
ID Code:73178
Deposited On:29 Jun 2022 14:15
Last Modified:30 Jun 2022 07:40

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