Geodesic ideal triangulations exist virtually
Geodesic ideal triangulations exist virtually
复制标题
测地理想三角测量实际上存在
DOI：
10.1090/s0002-9939-08-09387-8
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Stephan Tillmann
中科院分区：
文献类型：
--
作者：
F. Luo;S. Schleimer;Stephan Tillmann
证明了有限体积非紧双曲流形有一个允许测地理想三角剖分的有限覆盖。此外，每个具有非空全测地边界的有限体积双曲流形都有一个有限正则覆盖，它有一个测地线部分截断三角剖分。该证明推广了Long和Niblo关于周边子群可分性的一个结果。
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.