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Group negative curvature for 3-manifolds with genuine laminations

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. https://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
Related URLs:
URLURL TypeDescription
https://doi.org/10.2140/gt.1998.2.65DOIArticle
https://arxiv.org/abs/math/9805152arXivDiscussion Paper
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.
Funders:
Funding AgencyGrant Number
NSFDMS-9505253
Mathematical Sciences Research Institute (MSRI)UNSPECIFIED
Subject Keywords:Lamination, essential lamination, genuine lamination, group negatively curved, word hyperbolic
Issue or Number:4
Classification Code:AMS subject classification. Primary: 57M50. Secondary: 57R30, 57M07, 20F34, 20F32, 57M30.
Record Number:CaltechAUTHORS:GABgt98
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GABgt98
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:18 May 2020 19:49

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