Angle structures and hyperbolic $3$-manifolds with totally geodesic boundary
Geometric Topology
2014-05-13 v2
Abstract
This notes explores angle structures on ideally triangulated compact -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 -manifold with totally geodesic boundary has an ideal triangulation that admits angle structures.
Cite
@article{arxiv.1405.1545,
title = {Angle structures and hyperbolic $3$-manifolds with totally geodesic boundary},
author = {Faze Zhang and Ruifeng Qiu and Tian Yang},
journal= {arXiv preprint arXiv:1405.1545},
year = {2014}
}
Comments
11 pages, 4 figures, some references are added