Abstract
We show that if a closed atoroidal 3–manifold 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 satisfies a linear isoperimetric inequality.
Citation
David Gabai. William H Kazez. "Group negative curvature for 3–manifolds with genuine laminations." Geom. Topol. 2 (1) 65 - 77, 1998. https://doi.org/10.2140/gt.1998.2.65
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