2008/04/10 by Richard Atkins, Atkins, Richard
Mathematics · #53C05 #Advanced Differential Equations and Dynamical Systems #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications #math.DG #msc:53C05
paper · pdf · doi:10.48550/arxiv.0804.1732
8 pages
arxiv created 2008/04/10 · openalex publication_date 2008/04/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider when a smooth vector bundle endowed with a connection possesses non-trivial, local parallel sections. This is accomplished by means of a derived flag of subsets of the bundle. The procedure is algebraic and rests upon the Frobenius Theorem.