30 citations · 112 across the 21 of their papers we have counts for
5 papers · 2 filters
Liouville properties of plurisubharmonic functions
Lei Ni, Luen-Fai Tam
We prove a Liouville theorem for the plurisubharmonic functions on complete Kaelher manifolds. As the applications, we prove a splitting theorem for complete Kaehler manifolds with…
Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifolds
Huai-dong Cao, Lei Ni
We proved a matrix Li-Yau-Hamilton type gradient estimates for the positive solutin of the heat equation on complete Kaehler manifolds with nonnegative bisectional curvature. As a…
Kaehler-Ricci flow and the Poincare-Lelong equation
Lei Ni, Luen-Fai Tam
We show that the solution constructed in an earlier work of Y-G. Shi and the authors can be used to obtain sharp gradient estimates for the Kaehler-Ricci flow which achieves equali…
Plurisubharmonic functions and the Kaehler-Ricci flow
Lei Ni, Luen-Fai Tam
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 plurisubharmo…
Monotonicity and Kaehler-Ricci flow
Lei Ni
We show a connection between the linear trace Li-Yau-Hamilton inequality for the Kaehler-Ricci flow and the monotonicity formula for the positive currents. As an application of the…