Rigidity theorem by the minimal point of the Bergman kernel

Robert Xin Dong, John Treuer

We use the Suita conjecture (now a theorem) to prove that for any domain $\Omega \subset \mathbb{C}$ its Bergman kernel $K(\cdot ,\cdot )$ satisfies $K(z_0,z_0)=Volume(\Omega {)}^{-1}$…