2002/10/02 by B. Langerock, Bavo Langerock, Langerock, B.
Mathematics · Medicine · Physics and Astronomy · #53C05 #53C29 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #math.DG #msc:53C05 #msc:53C29
paper · pdf · doi:10.48550/arxiv.math/0210020
22 pages, no figures
arxiv created 2002/10/02 · openalex publication_date 2002/10/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we introduce a generalisation of the notion of holonomy for connections over a bundle map on a principal fibre bundle. We prove that, as in the standard theory on principal connections, the holonomy groups are Lie subgroups of the structure group of the principle fibre bundle and we also derive a straightforward generalisation of the Reduction Theorem.