Principal bundles and connections modelled by Lie group bundles

DOI10.1007/s10711-023-00766-2OpenAlexW4317105264MaRDI QIDQ2681870

Álvaro Rodríguez Abella, Marco Castrillón López

Publication date: 31 January 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07088

zbMATH Keywords

parallel transportLie group bundleEhresmann connectiongeneralized principal bundleUtiyama theoremfiberwise action

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lie groups (22E99) Connections (general theory) (53C05)

Cites Work

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• Local symmetries in gauge theories in a finite-dimensional setting
• Efficient computation of the Zassenhaus formula
• Riemannian metrics on Lie groupoids
• Lagrange-Poincaré field equations
• Classification of principal bundles and Lie groupoids with prescribed gauge group bundle
• Gauge algebras, curvature and symplectic structure
• Reduction in principal bundles: covariant Lagrange-Poincaré equations
• Espaces fibres en algèbres de Lie et en groupes
• Lagrangian reduction by stages
• Introduction to Smooth Manifolds
• Euler-Poincaré reduction on principal bundles