Group negative curvature for 3-manifolds with genuine laminations

Details Group negative curvature for 3-manifolds with genuine laminations Group negative curvature for 3-manifolds with genuine laminations

1998-05-11

arxiv.org/abs/math/9805152v1

Geom. Topol. 2 (1998), 65-77

Mathematics

Geometric Topology

13 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol2/paper4.abs.html

Scientific paper

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.

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