3 problems

Let $M_{2m+1}$ be the projectivization … and let $\Omega_r$ be the admissible Kähler class determined by … where $0<r_+<1$ and $-1<r_-<0$. Define … … … … An admissible constant-sca…

Transcendental Yau–Tian–Donaldson conjecture. The class $[\omega]$ admits a constant scalar curvature metric if and only if $(X,[\omega])$ is K-polystable.

Let $M$ be a compact co-oriented toric contact manifold of Reeb type. Let $\mathcal{C}$ be its strictly convex good cone, let $\mathcal{C}_+^*$ denote the Reeb cone, and for…