Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two

We classify, up to isometric congruence, the homogeneous hypersurfaces in the Riemannian symmetric spaces $$\mathrm{S}\mathrm{L}$(3,$\mathbb{H}$)/$\mathrm{S}\mathrm{p}$(3), \hspace{1pt} $\mathrm{S}\mathrm{O}$(5,$\mathbb{C}$)/$\mathrm{S}\mathrm{O}$(5),$and$$\mathrm{G}\mathrm{r}$^*(2,$\mathbb{C}$^{n+4}) = $\mathrm{S}\mathrm{U}$(n+2,2)/$\mathrm{S}$($\mathrm{U}$(n+2)$\mathrm{U}$(2)), , n \geqslant 1$.