Another look at connections (Q442630)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Another look at connections |
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Another look at connections (English)
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3 August 2012
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Summary: In this note we make use of some properties of vector fields on a manifold to give an alternate proof for the equivalence between connections and parallel transport on vector bundles over manifolds. Out of the proof will emerge a new approach to connections on a bundle as a consistent way to lift the dynamics of the manifold to the bundle.
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vector fields
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parallel transport
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vector bundles
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