Coxeter groups and hyperbolic manifolds
几何拓扑
2007-06-13 v2 群论
摘要
The rich theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperbolic n-manifolds. Combinatorial properties of finite images of these groups can be used to compute the volumes of the resulting manifolds. Three examples, in 4,5 and 6-dimensions, are given, each of very small volume, and in one case of smallest possible volume.
引用
@article{arxiv.math/0205157,
title = {Coxeter groups and hyperbolic manifolds},
author = {Brent Everitt},
journal= {arXiv preprint arXiv:math/0205157},
year = {2007}
}
备注
No major changes, just some minor improvements and corrections