On Parallel Sections of a Vector Bundle
Differential Geometry
2008-04-11 v1
Abstract
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.
Cite
@article{arxiv.0804.1732,
title = {On Parallel Sections of a Vector Bundle},
author = {Richard Atkins},
journal= {arXiv preprint arXiv:0804.1732},
year = {2008}
}
Comments
8 pages