Extremal metrics on toric manifolds and homogeneous toric bundles
In this paper, we prove the Yau-Tian-Donaldson conjecture of the filtration version for toric manifolds and homogeneous toric bundles.
math.AG↗
arXiv subjects
Zhao Lian
Publications and source records attributed to Zhao Lian.
Some Estimates for a Generalized Abreu's Equation
We study a generalized Abreu equation and derive some estimates.
math.DG↗
Prescribed Scaler Curvatures for Homogeneous Toric Bundles
In this paper, we study the generalized Abreu equation on a Delzant ploytope $Δ\subset \mathbb{R}^2$ and prove the existence of the constant scalar metrics of homogeneous toric bundles under the assumption of an appropriate stability.
math.DG↗
Interior Regularity for a generalized Abreu Equation
We study a generalized Abreu Equation in $n$-dimensional polytopes and derive interior estimates of solutions under the assumption of the uniform $K$-stability.
math.DG↗