Castrillón López, Marco Rodríguez Abella, Álvaro 2025-09-24T12:03:08Z 2025-09-24T12:03:08Z 2023-01-18 0046-5755 https://doi.org/10.1007/s10711-023-00766-2 Artículos en revistas . In this work, generalized principal bundles modelled by Lie group bundle actions are investigated. In particular, the 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. application/pdf en-GB Creative Commons Reconocimiento-NoComercial-SinObraDerivada España http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Revista: Geometriae Dedicata, Periodo: 1, Volumen: 217, Número: 32, Página inicial: ., Página final: . Principal bundles and connections modelled by Lie group bundles info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/openAccess . Ehresmann connection · Fiberwise action · Lie group bundle · Parallel transport · Generalized principal bundle · Utiyama Theorem