3 problems

Let $Y\to B$ be a holomorphic submersion equipped with the relevant relatively symplectic structure. An optimal symplectic connection is a connection satisfying the optimal symplec…

Let $\pi:(X,\alpha)\to(B,\beta)$ be a submersion, and consider the functional $\mathcal{N}$ on the space of relatively Kähler metrics that are cscK on each fibre. Properness conjec…

Let $\pi:X\to B$ be a holomorphic submersion, let $\alpha$ be a relatively Kähler class, and let $\omega_X\in\alpha$ be a relatively Kähler metric whose restriction to each fibre i…