Hongnian Huang

activity

20102024

most citedStability of Calabi flow near an extremal metric

14 citations · 62 across the 18 of their papers we have counts for

collaborators

Showing 2012Show all

5 papers · 1 filter

math.DG2012★ 1 cited

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.

math.DG2012★ 1 cited

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…

math.DG2012★ 10 cited

The global existence and convergence of the Calabi flow on $C^{n} / Z^{n} + i Z^{n}$

Renjie Feng, Hongnian Huang

In this note, we study the long time existence of the Calabi flow on $X = C^{n} / Z^{n} + i Z^{n}$ . Assuming the uniform bound of the total energy, we establish t…

math.DG2012★ 5 cited

Convergence of the calabi flow on toric varieties and related Kaehler manifolds

Hongnian Huang

Let $X$ be a toric variety and $u$ be a normalized symplectic potential of the corresponding polytope $P$ . Suppose that the Riemannian curvature is bounded by 1 and $ \int_{\partia…

math.DG2012

Toric Surfaces, K-Stability and Calabi Flow

Hongnian Huang

Let $X$ be a toric surface and $u$ be a normalized symplectic potential on the corresponding polygon $P$ . Suppose that the Riemannian curvature is bounded by a constant $C_{1}$ and $…

A splitting theorem on toric varieties

A splitting theorem for extremal Kaehler metrics

The global existence and convergence of the Calabi flow on Cn/Zn+iZn

Convergence of the calabi flow on toric varieties and related Kaehler manifolds

Toric Surfaces, K-Stability and Calabi Flow

The global existence and convergence of the Calabi flow on $C^{n} / Z^{n} + i Z^{n}$