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Results tagged with connections
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user 513776
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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Homogeneous metric connections on 3-dimensional Lie groups
Considering the moduli space of connections $\mathscr{B}$ on $P_{SO}$, we can define a right action of $G$ on it
$$\mathscr{B}\times G\to \mathscr{B}\, ;\, ([\omega],g)\mapsto [\hat{g}^*\omega].$$
Here …
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