4 citations · 12 across the 4 of their papers we have counts for
4 papers
Energy functionals and Kähler-Ricci solitons
Haozhao Li
In this paper, we generalize Chen-Tian energy functionals to Kähler-Ricci solitons and prove that the properness of these functionals is equivalent to the existence of Kähler-Ricci…
Gap theorems for Kähler-Ricci solitons
Haozhao Li
In this paper, we prove that a gradient shrinking compact Kähler-Ricci soliton cannot have too large Ricci curvature unless it is Kähler-Einstein.
A new formula for the energy functionals E_k and its applications
Haozhao Li
We give a new formula for the energy functionals E_k defined by Chen-Tian, and discuss the relations between these functionals. We also apply our formula to give a new proof of the…
On the Kahler-Ricci flow with small initial E_1 energy (I)
Xiuxiong Chen, Haozhao Li, Bing Wang
In this paper, we prove that the Kahler Ricci flow converges to a Kahler Einstein metric when E_1 energy is small. We also prove that E_1 is bounded from below if and only if the K…