Kahler-Ricci Flow and the Poincaré-Lelong Equation

摘要

In [M-S-Y], Mok-Siu-Yau studied complete K?hler manifolds with nonnegative holomorphic bisectional curvature by solving the Poincaré-Lelong equation (-1)~(1/2)(partial deriv)(partial deriv)-baru=ric (0.1) where Ric is the Ricci form of the manifold. In [M-S-Y], the authors solved (0.1) under the assumptions that the manifold is of maximal volume growth and the scalar curvature decays quadratically.