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Results tagged with connections
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user 54702
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].
9
votes
When can a connection Induce a Riemannian metric for which it is the Levi-Civita connection?
This question has been definitively answered in the following paper:
http://nzjm.math.auckland.ac.nz/images/f/f4/When_is_a_Connection_Metric_Connection%3F.pdf
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