A new look at connections
Differential Geometry
2011-02-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1102.4457,
title = {A new look at connections},
author = {Florin Dumitrescu},
journal= {arXiv preprint arXiv:1102.4457},
year = {2011}
}
Comments
6 pages