Connections and jet fields
Differential Geometry
2018-07-25 v2 Mathematical Physics
math.MP
Abstract
In this review paper we discuss the different interpretations of the concept of connection in a fiber bundle and in a jet bundle, and relate it with first and second-order systems of partial differential equations (PDE's) and multivector fields. As particular cases we analyze the concepts of linear connections and connections in a manifold.
Keywords
Cite
@article{arxiv.1803.10451,
title = {Connections and jet fields},
author = {A. Echeverría-Enríquez and M. C. Muñoz-Lecanda and N. Román-Roy},
journal= {arXiv preprint arXiv:1803.10451},
year = {2018}
}
Comments
21 pp. A new section (5) has been added. On it, new concepts, results and properties about connections in a manifold have been developed. arXiv admin note: text overlap with arXiv:dg-ga/9505004