Scalar Curvature, Volumes and the Bergman Kernel

Bo-Yong Chen, Yuanpu Xiong, Liyou Zhang

Motivated by the works of Gromov and LeBrun in Riemannian geometry, we study the analogous phenomena in complex geometry. We first show that both ${\int }_M|S_C^{-}(g){|}^{n}d{V}_g$ and ${\r…