4 papers
math.AG2021
Extremal metrics on toric manifolds and homogeneous toric bundles
An-Min Li, Zhao Lian, Li Sheng
In this paper, we prove the Yau-Tian-Donaldson conjecture of the filtration version for toric manifolds and homogeneous toric bundles.
math.DG2016
Some Estimates for a Generalized Abreu's Equation
An-Min Li, Zhao Lian, Li Sheng
We study a generalized Abreu equation and derive some estimates.
math.DG2016
Interior Regularity for a generalized Abreu Equation
An-Min Li, Zhao Lian, Li Sheng
We study a generalized Abreu Equation in -dimensional polytopes and derive interior estimates of solutions under the assumption of the uniform -stability.
math.DG2016
Prescribed Scaler Curvatures for Homogeneous Toric Bundles
Bohui Chen, Qing Han, An-Min Li +2
In this paper, we study the generalized Abreu equation on a Delzant ploytope and prove the existence of the constant scalar metrics of homogeneous toric bun…