Group negative curvature for 3-manifolds with genuine laminations
Geometric Topology
2014-11-11 v1
Abstract
We show that if a closed atoroidal 3-manifold M contains a genuine lamination, then it is group negatively curved in the sense of Gromov. Specifically, we exploit the structure of the non-product complementary regions of the genuine lamination and then apply the first author's Ubiquity Theorem to show that M satisfies a linear isoperimetric inequality.
Keywords
Cite
@article{arxiv.math/9805152,
title = {Group negative curvature for 3-manifolds with genuine laminations},
author = {David Gabai and William H. Kazez},
journal= {arXiv preprint arXiv:math/9805152},
year = {2014}
}
Comments
13 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol2/paper4.abs.html