19 citations · 76 across the 22 of their papers we have counts for
4 papers · 2 filters
The Kahler Metrics of constant scalar curvature on the Complex Torus
Bohui Chen, An-Min Li, Li Sheng
We study the Dirichlet problem of the Abreu equation. The solutions provide the Kahler metrics of constant scalar curvature on the complex torus.
Extremal metrics on toric surfaces
Bohui Chen, An-Min Li, Li Sheng
In this paper, we study the Abreu equation on toric surfaces. In particular, we prove the existence of the positive extremal metric when relative -stability is assumed.
Affine techniques on extremal metrics on toric surfaces
Bohui Chen, An-Min Li, Li Sheng
This paper consists of real and complex affine techniques for studying the Abreu equation on toric surfaces. In particular, an interior estimate for Ricci tensor is given.
Interior regularity on the Abreu equation
Bohui Chen, An-Min Li, Li Sheng
In this paper we prove the interior regularity for the solution to the Abreu equation in any dimension assuming the existence of the estimate.