connection on a vector bundle

One way to define a *connection* on a vector bundle $E \to X$ is as a principal connection of the $GL(n)$-principal bundle that the vector bundle is an associated bundle to. Another is as a covariant derivative on the space of sections of the vector bundle.

(…)

An exposition with an eye towards applications in gauge theory is in section 16.3 of

Revised on July 14, 2014 07:28:13
by Urs Schreiber
(89.204.135.179)