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Results tagged with connections
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user 151239
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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Connection on associated bundle
Now consider two connections $\nabla$ and $\nabla'$ on $E$ compatible with metric structure $\langle-,-\rangle$. … I would like to find an equation that relates the two forms, as in the case of connections. …
