On the Prescribed Ricci Curvature of Noncompact Homogeneous Spaces with Two Isotropy Summands

This work studies simply connected, noncompact $G\mathrm{/}H$ in which $G$ is semi-simple, $H$ is connected, and $G\mathrm{/}H$ has two irreducible summands. Here, we classify all such spaces and we provide solutions to the so-called Prescribed Ricci Curvature problem for all such spaces.