2 problems

Let $X$ be a Fano manifold with a Kähler–Einstein metric $\omega_0$. Let $\mathcal{H}(X,\omega_0)/\mathbb{R}$ be the space of Kähler potentials modulo constants, and let…

Let $(M,g)$ be an $n$-dimensional Kähler–Einstein manifold with $\omega_g\in 2\pi c_1(M)$. Let $\mathfrak K$ be the maximal compact subgroup of $\operatorname{Aut}(M)$, and suppose…