Exterior Covariant Derivative

In mathematics, the exterior covariant derivative, sometimes also covariant exterior derivative, is a very useful notion for calculus on manifolds, which makes it possible to simplify formulas which use a principal connection.

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Exterior Covariant Derivative - Properties
... Unlike the usual exterior derivative, which squares to 0 (that is d2 = 0), we have where Ω denotes the curvature form ...

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