Angle structure on general hyperbolic 3-manifolds

Ge Huabin; Jia Longsong; Zhang Faze

Angle structure on general hyperbolic 3-manifolds

Geometric Topology 2024-08-27 v1 Differential Geometry

Authors: Ge Huabin , Jia Longsong , Zhang Faze

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.

Keywords

hyperbolic 3-manifolds manifolds hyperbolic geometry

Cite

@article{arxiv.2408.14003,
  title  = {Angle structure on general hyperbolic 3-manifolds},
  author = {Ge Huabin and Jia Longsong and Zhang Faze},
  journal= {arXiv preprint arXiv:2408.14003},
  year   = {2024}
}

Comments

22 pages, 7 figures

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