RT Journal Article T1 Principal bundles and connections modelled by Lie group bundles A1 Castrillón López, Marco A1 Rodríguez Abella, Álvaro AB 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. YR 2022 FD 2022 LK https://hdl.handle.net/20.500.14352/71699 UL https://hdl.handle.net/20.500.14352/71699 LA eng NO Ministerio de Ciencia e Innovación (MICINN) NO Junta de Castilla y León DS Docta Complutense RD 12 abr 2025