Coxeter groups and hyperbolic manifolds
Abstract
Description
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.
No major changes, just some minor improvements and corrections
No major changes, just some minor improvements and corrections