4 citations · 11 across the 5 of their papers we have counts for
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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…