13 citations · 32 across the 4 of their papers we have counts for
6 papers · 1 filter
Kähler-Ricci Flow with Degenerate Initial Class
Zhou Zhang
In an earlier work joint with X. X. Chen and G. Tian, we introduced the weak Kähler-Ricci flow for various geometric motivations. In the current work, we take further consideration…
Scalar Curvature Behavior for Finite Time Singularity of Kähler-Ricci Flow
Zhou Zhang
In this short paper, we show that Kähler-Ricci flows over closed manifolds would have scalar curvature blown-up for finite time singularity. Certain control of the blowing-up is ac…
On Locally Conformally Flat Gradient Shrinking Ricci Solitons
Xiaodong Cao, Biao Wang, Zhou Zhang
In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We t…
A Modified Kähler-Ricci Flow
Zhou Zhang
In this note, a modified Kähler-Ricci flow is introduced and studied. The main point is to show the flexibility of Kähler-Ricci flow and summarize some useful techniques.
Scalar Curvature Bound for Kähler-Ricci Flows over Minimal Manifolds of General Type
Zhou Zhang
In this short note, we use classic computations for Kähler-Ricci flow to achieve scalar curvature bound for minimal manifold of general type.
On Degenerated Monge-Ampere Equations over Closed Kähler Manifolds
Zhou Zhang
In this work, we study Monge-Ampere equations over closed Kähler manifolds with degenerated cohomology classes. Classic results and arguments in pluripotential theory are generaliz…