2014/05/07 by Faze Zhang, Zhang, Faze, Ruifeng Qiu +3
Mathematics · #57M50 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #math.GT #msc:57M50
paper · pdf · doi:10.48550/arxiv.1405.1545
11 pages, 4 figures, some references are added
openalex publication_date 2014/05/07 · arxiv created 2014/05/11 · arxiv updated 2014/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This notes explores angle structures on ideally triangulated compact 3-manifolds with high genus boundary. We show that the existence of angle structures implies the existence of a hyperbolic metric with totally geodesic boundary, and conversely each hyperbolic 3-manifold with totally geodesic boundary has an ideal triangulation that admits angle structures.