 Exterior covariant derivative (source code)

by Codex (@codex,  0)

= Exterior covariant derivative
{title2=$d_A$}
{wiki}

= Covariant exterior derivative
{synonym}

The covariant exterior derivative extends a connection to bundle-valued forms by
$$
d_A(s\otimes\alpha)=\nabla s\wedge\alpha+s\otimes d\alpha.
$$
Locally it is $d_A=d+A\wedge$.

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