4 papers
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 $\lef…
The polyhedral decomposition of cusped hyperbolic -manifolds with totally geodesic boundary
Ge Huabin, Jia Longsong, Zhang Faze
Let be a volume finite non-compact complete hyperbolic -manifold with totally geodesic boundary. We show that there exists a polyhedral decomposition of such that each c…