Maxima of Curvature Functionals and the Prescribed Ricci Curvature Problem on Homogeneous Spaces

Artem Pulemotov

Consider a compact Lie group $G$ and a closed Lie subgroup $H<G$. Let $\mathcal{M}$ be the set of $G$-invariant Riemannian metrics on the homogeneous space $M=G/H$. By studying vari…