paper

Connections and jet fields

arXiv:1803.10451

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.

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

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