Curvature 2-form
= Curvature 2-form
{title2=$\mathcal R^a{}_b$}
{wiki}
= Curvature two-form
{synonym}
The curvature two-forms are
$$
\mathcal R^a{}_b=d\omega^a{}_b+\omega^a{}_c\wedge\omega^c{}_b
=\frac12R^a{}_{bcd}\theta^c\wedge\theta^d.
$$
= Curvature 2-form
{title2=$\mathcal R^a{}_b$}
{wiki}
= Curvature two-form
{synonym}
The curvature two-forms are
$$
\mathcal R^a{}_b=d\omega^a{}_b+\omega^a{}_c\wedge\omega^c{}_b
=\frac12R^a{}_{bcd}\theta^c\wedge\theta^d.
$$