6 papers
A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
We develop a unified geometric and probabilistic theory of conformal type for unimodular random infinite trivalent hyperbolic polyhedra in . By corresponding these wi…
Random infinite ideal angled graphs and ideal hyperbolic polyhedra
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
This article aims to develop the theory of random infinite ideal hyperbolic polyhedra (abbr. IHP) from multiple perspectives, including combinatorics, geometry, analysis, and rando…
Hyperbolization and geometric decomposition of a class of 3-manifolds
Ke Feng, Huabin Ge, Yunpeng Meng
Thurston's triangulation conjecture asserts that every hyperbolic 3-manifold admits a geometric triangulation into hyper-ideal hyperbolic tetrahedra. So far, this conjecture had on…
Combinatorial Ricci Flow and Thurston's Triangulation Conjecture
Feng Ke, Ge Huabin
Thurston's triangulation conjecture asserts that every hyperbolic 3-manifold admits a geometric decomposition into ideal hyperbolic tetrahedra, a result proven only for certain spe…
Rigidity, volume and angle structures of 1-3 type hyperbolic polyhedral 3-manifolds
Feng Ke, Ge Huabin, Liu Chunlei
In this paper, we study the rigidity of hyperbolic polyhedral 3-manifolds and the volume optimization program of angle structures. We first study the rigidity of decorated 1-3 type…
On the Volume Conjecture for hyperbolic Dehn-filled 3-manifolds along the twist knots
Huabin Ge, Yunpeng Meng, Chuwen Wang +1
For a twist knot , let be the closed -manifold obtained by doing Dehn-filling along . In this article, we prove that Chen-Yang's…