The smallest hyperbolic 6-manifolds
几何拓扑
2007-05-23 v2
摘要
By gluing together copies of an all-right angled Coxeter polytope a number of open hyperbolic 6-manifolds with Euler characteristic -1 are constructed. They are the first known examples of hyperbolic 6-manifolds having the smallest possible volume.
引用
@article{arxiv.math/0410474,
title = {The smallest hyperbolic 6-manifolds},
author = {Brent Everitt and John Ratcliffe and Steven Tschantz},
journal= {arXiv preprint arXiv:math/0410474},
year = {2007}
}
备注
More details added in the last section. To appear in Electronic Research Announcements of the AMS