Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel
Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel
复制标题
DOI：
10.1007/s00208-011-0744-2
复制
发表时间：
2010-09
影响因子：
1.4
通讯作者：
B. Everitt;J. Ratcliffe;S. Tschantz
中科院分区：
文献类型：
--
作者：
B. Everitt;J. Ratcliffe;S. Tschantz
通过将一个全直角双曲六维多面体的八个副本的边粘在一起，构造了两个欧拉特征为−1的可定向双曲六维流形。它们是第一个已知的例子定向双曲六流形具有最小的可能体积。
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.