5 papers
Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity
Huabin Ge, Hao Yu, Puchun Zhou
In the seminal work [27], Rivin obtained a complete characterization of finite ideal polyhedra in hyperbolic 3-space by the exterior dihedral angles. Since then,the characterizatio…
Characterizations of infinite circle patterns and convex polyhedra in hyperbolic 3-space
Huabin Ge, Longsong Jia, Hao Yu +1
Since Thurston pioneered the connection between circle packing (abbr. CP) and three-dimensional geometric topology, the characterization of CPs and hyperbolic polyhedra has become…
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…
Angle structures on pseudo 3-manifolds
Huabin Ge, Longsong Jia, Faze Zhang
It is still not known whether a hyperbolic 3-manifold admits an angle structure or not. We consider angle structures with area-curvature on triangulated pseudo 3-manifolds M in thi…
Asymptotic behavior of discrete Schrödinger equations on the hexagonal triangulation
Huabin Ge, Bobo Hua, Longsong Jia +1
In this article, we prove the decay estimate for the discrete Schrödinger equation (DS) on the hexagonal triangulation. The dispersive decay rate is $\le…