The relation between systems and associated bundles
Differential Geometry
2016-09-06 v1
Abstract
It is shown that a strong system of vector fields on a fiber bundle in the sense of [Modugno, M. Systems of connections and invariant lagrangians. In: Differential geometric methods in theoretical physics, Proc. 15th Int. Conf., DGM, Clausthal/FRG 1986, 518-534 World Scientific Publishing Co. (1987)] is induced from a principal fiber bundle if and only if each vertical vector field of the system is complete.
Keywords
Cite
@article{arxiv.math/9203202,
title = {The relation between systems and associated bundles},
author = {Peter W. Michor},
journal= {arXiv preprint arXiv:math/9203202},
year = {2016}
}