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math.GT2025
Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow
Huabin Ge, Bobo Hua, Hao Yu +1
In his seminal work \cite{Ri96}, Rivin characterized finite ideal polyhedra in three-dimensional hyperbolic space. However, the characterization of infinite ideal polyhedra, as pro…
math.GT2025
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…
math.GT2024
The rigidity of Doyle circle packings on the infinite hexagonal triangulation
Bobo Hua, Puchun Zhou
Peter Doyle conjectured that locally univalent circle packings on the hexagonal lattice only consist of regular hexagonal packings and Doyle spirals, which is called the Doyle conj…