Geodesic ideal triangulations exist virtually
几何拓扑
2007-05-23 v1
摘要
It is shown that every non-compact hyperbolic manifold of finite volume has a finite cover admitting a geodesic ideal triangulation. Also, every hyperbolic manifold of finite volume with non-empty, totally geodesic boundary has a finite regular cover which has a geodesic partially truncated triangulation. The proofs use an extension of a result due to Long and Niblo concerning the separability of peripheral subgroups.
引用
@article{arxiv.math/0701431,
title = {Geodesic ideal triangulations exist virtually},
author = {Feng Luo and Saul Schleimer and Stephan Tillmann},
journal= {arXiv preprint arXiv:math/0701431},
year = {2007}
}
备注
7 pages