Injectivity radii of hyperbolic polyhedra
Geometric Topology
2007-05-23 v3 Group Theory
Abstract
We define the injectivity radius of a Coxeter polyhedron in H^3 to be half the shortest translation length among hyperbolic/loxodromic elements in the orientation-preserving reflection group. We show that, for finite-volume polyhedra, this number is always less than 2.6339..., and for compact polyhedra it is always less than 2.1225... .
Cite
@article{arxiv.math/9812067,
title = {Injectivity radii of hyperbolic polyhedra},
author = {Joseph D. Masters},
journal= {arXiv preprint arXiv:math/9812067},
year = {2007}
}
Comments
14 pages, 9 figures. Replaced with published version