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Geometric ideal triangulations of hyperbolic 3-manifolds
Huabin Ge
We resolve the longstanding geometric ideal triangulation conjecture arising from Thurston's theory of hyperbolic 3-manifolds: every finite-volume cusped hyperbolic 3-manifold admi…
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…
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…