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Results tagged with connections
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user 544688
Ehresmann connections; covariant derivatives; connections on vector bundles, principal bundles, ∞-bundles, submersions, bundle gerbes; holonomy and higher holonomy; parallel transport; torsion; curvature. See also the tags [principal-bundles], [vector-bundles], [gerbes], [curvature], [geodesics], [characteristic-classes], [torsion].
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Is every connection locally flat for an other connection?
This was already explained by Ben McKay, so I am only elaborating on the point made. Let $\mathscr{M}$ be a connected smooth manifold and $E = \mathbf{R}^k \times \mathscr{M}$ be a trivial vector bund …
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