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Results tagged with connections
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user 11538
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].
25
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6
answers
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pull-back connection
I have a question related to the definition of the pull-back connection, more specifically about its uniqueness or the canonical way to induce it.
The definition that one finds in general goes alon …
- 53.3k
2
votes
pull-back connection
To Matt:
The relation $(F^*\nabla)_X=0$ does not satisfy Leibniz relation.
Meanwhile I found out the answer to my question (a friend clarified it for me).
It turns out that there is an isomorphism $ …
- 271