55 citations · 329 across the 34 of their papers we have counts for
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math.DG2013★ 8 cited
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…
math.DG2013★ 39 cited
2-Dimensional Combinatorial Calabi Flow in Hyperbolic Background Geometry
Huabin Ge, Xu Xu
For triangulated surfaces locally embedded in the standard hyperbolic space, we introduce combinatorial Calabi flow as the negative gradient flow of combinatorial Calabi energy. We…
math.DG2013★ 42 cited
Discrete Quasi-Einstein Metrics and Combinatorial Curvature Flows in 3-Dimension
Huabin Ge, Xu Xu
We define Discrete Quasi-Einstein metrics (DQE-metrics) as the critical points of discrete total curvature functional on triangulated 3-manifolds. We study DQE-metrics by introduci…