In Riemannian geometry, one defines torsion and curvature for the affine/metric connection. Is it possible to define a torsion form for a connection which is defined on a principle G-bundle?
Any references would really be appreciable. Thanks!
2026-03-29 05:12:33.1774761153
Can connections on a principal bundle have torsion?
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The curvature of a connection defined on a principal bundle is the covariant derivative of the connection form.
https://en.wikipedia.org/wiki/Connection_(principal_bundle)#Curvature_form