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.

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

Revised on January 28, 2014 09:01:17
by Urs Schreiber
(82.113.121.62)