 Cartan curvature matrix equation (source code)

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= Cartan curvature matrix equation
{c}
{title2=$\Theta=dA+A\wedge A$}

For a <connection on a vector bundle> written $D=d+A\wedge$ in a local frame, its <curvature form of a connection> is represented by $\Theta=dA+A\wedge A$. The products combine matrix multiplication with the <exterior product>. The formula follows by squaring $D$ and using the graded <Leibniz rule>.

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