Plurisubharmonic functions and the Kaehler-Ricci flow
  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. 
Lei Ni, Luen-Fai Tam