10 citations · 22 across the 7 of their papers we have counts for
8 papers
The interior regularity of the Calabi flow on a toric surface
Xiuxiong Chen, Hongnian Huang, Li Sheng
Let X be a toric surface with Delzant polygon P and u(t) be a solution of the Calabi flow equation on P. Suppose the Calabi flow exists in [0, T). By studying local estimates of th…
A splitting theorem on toric varieties
Hongnian Huang
Using the short time existence of the Calabi flow, we prove that any extremal Kaehler metric on a product toric variety is a product extremal Kaehler metric.
A splitting theorem for extremal Kaehler metrics
Vestislav Apostolov, Hongnian Huang
Based on recent work of S. K. Donaldson and T. Mabuchi, we prove that any extremal Kaehler metric in the sense of E. Calabi, defined on the product of polarized compact complex pro…
The global existence and convergence of the Calabi flow on
Renjie Feng, Hongnian Huang
In this note, we study the long time existence of the Calabi flow on . Assuming the uniform bound of the total energy, we establish t…
Convergence of the calabi flow on toric varieties and related Kaehler manifolds
Hongnian Huang
Let be a toric variety and be a normalized symplectic potential of the corresponding polytope . Suppose that the Riemannian curvature is bounded by 1 and $ \int_{\partia…
Toric Surfaces, K-Stability and Calabi Flow
Hongnian Huang
Let be a toric surface and be a normalized symplectic potential on the corresponding polygon . Suppose that the Riemannian curvature is bounded by a constant and $…