Angle structures on pseudo 3-manifolds
Geometric Topology
2025-02-18 v1
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.
Cite
@article{arxiv.2502.11397,
title = {Angle structures on pseudo 3-manifolds},
author = {Huabin Ge and Longsong Jia and Faze Zhang},
journal= {arXiv preprint arXiv:2502.11397},
year = {2025}
}
Comments
21 pages. arXiv admin note: substantial text overlap with arXiv:2408.14003 by other authors