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math.GT2025
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…
math.GT2025
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…