Publications (46)
Rigidity of the hexagonal Delaunay triangulated plane
Song Dai, Huabin Ge, Shiguang Ma
We show the rigidity of the hexagonal Delaunay triangulated plane under Luo's PL conformality. As a consequence, we obtain a rigidity theorem for a particular type of locally finit…
The Kähler-Ricci flow on pseudoconvex domains
Huabin Ge, Aijin Lin, Liangming Shen
We establish the existence of Kähler-Ricci flow on pseudoconvex domains with general initial metric without curvature bounds. Moreover we prove that this flow is simultaneously co…
On the deformation of inversive distance circle packings, II
Huabin Ge, Wenshuai Jiang
We show that the results in \cite{Ge-Jiang1} are still true in hyperbolic background geometry setting, that is, the solution to Chow-Luo's combinatorial Ricci flow can always be ex…
On a combinatorial curvature for surfaces with inversive distance circle packing metrics
Huabin Ge, Xu Xu
In this paper, we introduce a new combinatorial curvature on triangulated surfaces with inversive distance circle packing metrics. Then we prove that this combinatorial curvature h…
p-th Kazdan-Warner equation on graph
Huabin Ge
Let be a connected finite graph and be the set of functions defined on . Let be the discrete -Laplacian on with and , where $k\in…
3-Dimensional Discrete curvature flows and discrete Einstein metric
Huabin Ge, Xu Xu, Shijin Zhang
We introduce the discrete Einstein metrics as critical points of discrete energy on triangulated 3-manifolds, and study them by discrete curvature flow of second (fourth) order. We…