nLab
connection on a vector bundle

Contents

Idea

One way to define a connection on a vector bundle EXE \to X is as a principal connection of the GL(n)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.

Examples

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References

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)