English

Injectivity Radius and Fundamental Group of Hyperbolic 3-Manifolds

Geometric Topology 2007-05-23 v1

Abstract

We show that there is an upper bound on the injectivity radius of a hyperbolic 3-manifold in terms of the the number of generators of its fundamental group.

Cite

@article{arxiv.math/0104191,
  title  = {Injectivity Radius and Fundamental Group of Hyperbolic 3-Manifolds},
  author = {Matthew E. White},
  journal= {arXiv preprint arXiv:math/0104191},
  year   = {2007}
}

Comments

13 pages, 7 figures, to appeat in Communications in Analysis and Geometry