Geometry and Rank of Fibered Hyperbolic 3-Manifolds
Metric Geometry
2014-10-01 v1
Abstract
Assume that M is a closed hyperbolic 3-manifold fibering over the circle with fiber a closed orientable surface of genus g. We show that if M has large diameter and its injectivity radius is bounded below, then the rank of the fundamental group of M is 2g+1.
Keywords
Cite
@article{arxiv.0803.1253,
title = {Geometry and Rank of Fibered Hyperbolic 3-Manifolds},
author = {Ian Biringer},
journal= {arXiv preprint arXiv:0803.1253},
year = {2014}
}