Angle structure on general hyperbolic 3-manifolds

Ge Huabin, Jia Longsong, Zhang Faze
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Abstract

Let $M$ be a non-compact hyperbolic $3$-manifold with finite volume and totally geodesic boundary components. By subdividing mixed ideal polyhedral decompositions of $M$, under some certain topological conditions, we prove that $M$ has an ideal triangulation which admits an angle structure.
一般双曲3-manifolds上的角度结构
假设 $M$ 是一个具有有限体积和完全大地边界成分的非紧凑双曲$3$-manifold。通过细分 $M$ 的混合理想多面体分解,在某些拓扑条件下,我们证明 $M$ 有一个理想三角剖分,它允许一个角结构。
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