Geodesic
Group negative curvature for 3–manifolds with genuine laminations
Gabai, David1 ; Kazez, William H2
1 California Institute of Technology, Pasadena, California 91125-0001, USA
2 University of Georgia, Athens, Georgia 30602, USA
Geometry & topology, Tome 2 (1998) no. 1, pp. 65-77.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.1998.2.65
Keywords: lamination, essential lamination, genuine lamination, group negatively curved, word hyperbolic

Gabai, David 1 ; Kazez, William H 2

1 California Institute of Technology, Pasadena, California 91125-0001, USA
2 University of Georgia, Athens, Georgia 30602, USA 
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Gabai, David; Kazez, William H. Group negative curvature for 3–manifolds with genuine laminations. Geometry & topology, Tome 2 (1998) no. 1, pp. 65-77. doi : 10.2140/gt.1998.2.65. http://geodesic.mathdoc.fr/articles/10.2140/gt.1998.2.65/

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