Published May 11, 1998
| Published
Journal Article
Open
Group negative curvature for 3-manifolds with genuine laminations
- Creators
- Gabai, David
- Kazez, William H.
Chicago
An error occurred while generating the citation.
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.Attached Files
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Additional details
- Eprint ID
- 761
- Resolver ID
- CaltechAUTHORS:GABgt98
- NSF
- DMS-9505253
- Mathematical Sciences Research Institute (MSRI)
- Created
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2005-09-28Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field