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. Specically, 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.
Original language | English (US) |
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Pages (from-to) | 65-77 |
Number of pages | 13 |
Journal | Geometry and Topology |
Volume | 2 |
DOIs | |
State | Published - 1998 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
Keywords
- Essential lamination
- Genuine lamination
- Group negatively curved
- Lamination
- Word hyperbolic