3 papers
math.GT2025
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…
math.GT2025
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…
math.DG2025
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…