4 citations · 14 across the 6 of their papers we have counts for
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Complex deformation of critical Kähler metrics
Haozhao Li
In this paper, we use Pacard-Xu's methods to discuss the complex deformation of constant scalar curvature metrics in the case of fixed and varying complex structures. Moreover, we…
On stability of the hyperbolic space form under the normalized Ricci flow
Haozhao Li, Hao Yin
This paper studies the normalized Ricci flow from a slight perturbation of the hyperbolic metric on . It's proved that if the perturbation is small and decays sufficie…
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.
On the lower bound of the K energy and F functional
Haozhao Li
Using Perelman's results on Kahler Ricci flow, we prove that the K energy is bounded from below if and only if the F functional is bounded from below in the canonical Kahler class.
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…