Plurisubharmonic functions and the Kaehler-Ricci flow

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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.

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