Connections and Parallel Transport
Florin Dumitrescu
TL;DR
This paper provides a straightforward proof demonstrating the equivalence between the mathematical concepts of connections and parallel transport, clarifying their relationship in differential geometry.
Contribution
It offers an elementary proof establishing the equivalence between connections and parallel transport, simplifying understanding of their relationship.
Findings
Connections and parallel transport are equivalent notions.
Elementary proof of their equivalence.
Clarifies foundational concepts in differential geometry.
Abstract
In this short note we give an elementary proof of the fact that connections and their geometric parallel-transport counterpart are equivalent notions.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Quantum and electron transport phenomena · Algebraic structures and combinatorial models