21 citations · 126 across the 27 of their papers we have counts for
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math.DG2010★ 6 cited
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.
math.DG2010★ 8 cited
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.
math.DG2010★ 19 cited
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.