Longsong Jia

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20242026

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5 papers · 1 filter

math.GT2026

Totally Geodesic Submanifolds of Teichmüller Space in Complex Dimension at Least Three

Longsong Jia

Let $N \subset T_{g, n}$ be a connected complex totally geodesic submanifold. We prove that if $dim_{C} N \geq 3$ , then $N$ is the image of an entire Teichmüller spac…

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…

math.GT2024

The polyhedral decomposition of cusped hyperbolic $n$ -manifolds with totally geodesic boundary

Ge Huabin, Jia Longsong, Zhang Faze

Let $M$ be a volume finite non-compact complete hyperbolic $n$ -manifold with totally geodesic boundary. We show that there exists a polyhedral decomposition of $M$ such that each c…