Plurisubharmonic functions and the Kaehler-Ricci flow
arXiv:math/0211218
Abstract
We prove a linear trace Li-Yau-Hamilton inequality for the Kaehler-Ricci flow. We then use this sharp differential inequality to study the Liouville properties of the plurisubharmonic functions on complete Kaehler manifolds with nonnegative bisectional curvature.