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arxiv: 1803.10451 · v2 · pith:APTUVHNSnew · submitted 2018-03-28 · 🧮 math.DG · math-ph· math.MP

Connections and jet fields

classification 🧮 math.DG math-phmath.MP
keywords connectionsbundlefieldsanalyzecasesconceptconceptsconnection
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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.

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