2011/02/22 by Florin Dumitrescu, Dumitrescu, Florin
Mathematics · Physics and Astronomy · #53C05 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1102.4457
openalex publication_date 2011/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we make use of some properties of vector fields on a manifold to give an alternate proof to [3] for the equivalence between connections and parallel transport on vector bundles over manifolds. Out of the proof will emerge a new approach to connections on a bundle as a consistent way to lift the dynamics of the manifold to the bundle.