Angle structures on pseudo 3-manifolds

Huabin Ge; Longsong Jia; Faze Zhang

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arXiv · 2502.11397

Angle structures on pseudo 3-manifolds

Huabin Ge·Longsong Jia·Faze Zhang

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Abstract

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 this article. A suficient and necessary condition for the existence of such angle structures is established. As a consequence, any compact hyperbolic 3-manifold with totally geodesic boundary admits an angle structure. We also derive certain topological information of M from the existence of such angle structures.

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Huabin Ge, Longsong Jia, Faze Zhang. 2025-02-17. Angle structures on pseudo 3-manifolds. https://arxiv.org/abs/2502.11397

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