Curvature and $L^p$ Bergman spaces on complex submanifolds in ${\mathbb{C}}^N$

Bo-Yong Chen, Yuanpu Xiong

Let $M$ be a closed complex submanifold in ${\mathbb{C}}^N$ with the complete Kähler metric induced by the Euclidean metric. Several finiteness theorems on the $L^p$ Bergman space o…