Group negative curvature for 3-manifolds with genuine laminations

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.

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

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