Gabai, David and Kazez, William H. (1998) Group negative curvature for 3-manifolds with genuine laminations. Geometry and Topology, 2 (4). pp. 65-77. ISSN 1465-3060 http://resolver.caltech.edu/CaltechAUTHORS:GABgt98
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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.
| Item Type: | Article |
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| Additional Information: | Copyright 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. |
| Subject Keywords: | Lamination, essential lamination, genuine lamination, group negatively curved, word hyperbolic |
| Record Number: | CaltechAUTHORS:GABgt98 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:GABgt98 |
| Alternative URL: | http://www.maths.warwick.ac.uk/gt/GTVol2/paper4.abs.html |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 761 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 28 Sep 2005 |
| Last Modified: | 26 Dec 2012 08:41 |
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