Geodesic
Volume change under drilling
Agol, Ian1
1 MSCS, SEO 322, m/c 249, University of Illinois at Chicago, 851 S Morgan St, Chicago, Illinois 60607-7045, USA
Geometry & topology, Tome 6 (2002) no. 2, pp. 905-916.

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

Given a hyperbolic 3–manifold M containing an embedded closed geodesic, we estimate the volume of a complete hyperbolic metric on the complement of the geodesic in terms of the geometry of M. As a corollary, we show that the smallest volume orientable hyperbolic 3–manifold has volume > .32.

DOI : 10.2140/gt.2002.6.905
Keywords: hyperbolic structure, 3–manifold, volume, geodesic

Agol, Ian 1

1 MSCS, SEO 322, m/c 249, University of Illinois at Chicago, 851 S Morgan St, Chicago, Illinois 60607-7045, USA 
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Agol, Ian. Volume change under drilling. Geometry & topology, Tome 6 (2002) no. 2, pp. 905-916. doi : 10.2140/gt.2002.6.905. http://geodesic.mathdoc.fr/articles/10.2140/gt.2002.6.905/

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