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Published May 11, 1998 | Published
Journal Article Open

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.

Additional Information

© 1998 Geometry and Topology. Proposed: Jean-Pierre Otal. Seconded: Robion Kirby, Michael Freedman. Received: 5 August 1997. Revised: 9 May 1998. The authors would like to dedicate this paper to David Epstein on the occasion of his 60th birthday. The first author was partially supported by NSF Grant DMS-9505253 and the MSRI.

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