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arxiv: math/0211218 · v1 · submitted 2002-11-14 · 🧮 math.DG

Plurisubharmonic functions and the Kaehler-Ricci flow

classification 🧮 math.DG
keywords flowfunctionsinequalitykaehler-ricciplurisubharmonicbisectionalcompletecurvature
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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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