3 problems

Green function rigidity conjecture. Then $(M,g)$ is a round sphere.

Let $(M,g)\in\mathcal{M}_{\rm Rc}(m)$, and let $(\widetilde M,\widetilde g)$ be its Riemannian universal covering. The quantitative space-form rigidity theorem concerns lower bound…

Let $\Sigma$ be an embedded annulus-type minimal Lagrangian surface in $\mathbb{B}^4$ with Legendrian capillary boundary on $\mathbb{S}^3$. Such a boundary has constant contact ang…