12 citations · 62 across the 33 of their papers we have counts for
6 papers · 1 filter
On the uniqueness for the heat equation on complete Riemannian manifolds
Fei He, Man-Chun Lee
We prove some uniqueness result for solutions to the heat equation on Riemannian manifolds. In particular, we prove the uniqueness of solutions with , and improves t…
Complete Kähler-Einstein metric on Stein manifolds with negative curvature
Man-Chun Lee
We show the existence of complete negative Kähler-Einstein metric on Stein manifolds with negatively pinched holomorphic sectional curvature. We prove that any Kähler metrics on su…
Kähler manifolds with almost non-negative curvature
Man-Chun Lee, Luen-Fai Tam
In this paper, we construct local and global solutions to the Kähler-Ricci flow from a non-collapsed Kähler manifold with curvature bounded from below. Combines with the mollificat…
The Kähler Ricci flow around complete bounded curvature Kähler metrics
Albert Chau, Man-Chun Lee
We produce complete bounded curvature solutions to Kähler-Ricci flow with existence time estimates, assuming only that the initial data is a smooth \K metric uniformly equivalent t…
Complex manifolds with negative curvature operator
Man-Chun Lee, Jeffrey Streets
We prove that compact complex manifolds with admitting metrics with negative Chern curvature operator either admit a -exact positive (1,1) current, or are Kähler with ample c…
Instantaneously complete Chern-Ricci flow and Kähler-Einstein metrics
Shaochuang Huang, Man-Chun Lee, Luen-Fai Tam
In this work, we obtain some existence results of Chern-Ricci Flows and the corresponding Potential Flows on complex manifolds with possibly incomplete initial data. We discuss the…