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paper

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.