Xiuxiong ChenStony Brook UniversityJingrui ChengStony Brook University
Analysis of PDEsarXiv subject: Differential Geometry (math.DG)mathscidoc:2005.03003
In this paper, we derive apriori estimates for constant scalar curvature K\"ahler metrics on a compact K\"ahler manifold. We show that higher order derivatives can be estimated in terms of a $C^0$ bound for the K\"ahler potential.
We also discuss some local versions of these estimates which can be of independent interest.