55 citations · 329 across the 34 of their papers we have counts for
10 papers · 1 filter
Combinatorial Ricci flows on infinite disk triangulations
Huabin Ge, Bobo Hua, Puchun Zhou
In this paper, we introduce combinatorial Ricci flows (CRFs in short) in Euclidean and hyperbolic background geometries on infinite triangulations of the open disk, which are discr…
A combinatorial curvature flow in spherical background geometry
Huabin Ge, Bobo Hua, Puchun Zhou
In [12], the existence of ideal circle patterns in Euclidean or hyperbolic background geometry under the combinatorial conditions was proved using flow approaches. It remains as an…
Circle patterns on surfaces of finite topological type
Huabin Ge, Bobo Hua, Ze Zhou
This paper investigates circle patterns with obtuse exterior intersection angles on surfaces of finite topological type. We characterise the images of the curvature maps and establ…
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…
Unified -Flows on Triangulated Manifolds with Two and Three Dimensions
Huabin Ge, Ming Li
In this paper, we introduce a framework of -flows on triangulated manifolds with two and three dimensions, which unifies several discrete curvature flows previously defined…
On the deformation of inversive distance circle packings, III
Huabin Ge, Wenshuai Jiang
Given a triangulated surface , we use Ge-Xu's -flow \cite{Ge-Xu1} to deform any initial inversive distance circle packing metric to a metric with constant -curvature. More…
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…
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 the deformation of discrete conformal factors on surfaces
Huabin Ge, Wenshuai Jiang
In \cite{Luo0}, Feng Luo conjectured that the discrete Yamabe flow will converge to the constant curvature PL-metric after finite number of surgeries on the triangulation. In this…
On the deformation of inversive distance circle packings
Huabin Ge, Wenshuai Jiang
In this paper, we generalize Chow-Luo's combinatorial Ricci flow to inversive distance circle packing setting. Although the solution to the generalized flow may develop singulariti…