Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel

被引：0
|
作者：
Brent Everitt
John G. Ratcliffe
Steven T. Tschantz
机构：
[1] University of York,Department of Mathematics
[2] Vanderbilt University,Department of Mathematics
来源：
Mathematische Annalen | 2012年 / 354卷
关键词：
Manifold; Homology Group; Coxeter Group; Line Edge; Coordinate Hyperplane;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By gluing together the sides of eight copies of an all-right angled hyperbolic six-dimensional polytope, two orientable hyperbolic six-manifolds with Euler characteristic −1 are constructed. They are the first known examples of orientable hyperbolic six-manifolds having the smallest possible volume.
引用
收藏
页码：871 / 905
页数：34
相关论文
共 50 条
12345