Ricci form of a Kähler manifold
= Ricci form of a Kähler manifold
{c}
{title2=$\rho$}
{wiki=Ricci_curvature#Kähler_manifolds}
The Ricci form is the real curvature form $iF_\nabla$ of the Chern connection on $T^{1,0}X$. In complex dimension one, $\rho=K\omega=\frac12\operatorname{Scal}\,\omega$.