Geodesic
Existence of ruled wrappings in hyperbolic 3–manifolds
Soma, Teruhiko1
1 Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo 192-0397, Japan
Geometry & topology, Tome 10 (2006) no. 2, pp. 1173-1184.

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

We present a short elementary proof of an existence theorem of certain CAT(−1)–surfaces in open hyperbolic 3–manifolds. The main construction lemma in Calegari and Gabai’s proof of Marden’s Tameness Conjecture can be replaced by an applicable version of our theorem. Finally, we will give a short proof of the conjecture along their ideas.

DOI : 10.2140/gt.2006.10.1173
Keywords: hyperbolic $3$–manifolds, ruled wrappings, Marden's tameness conjecture

Soma, Teruhiko 1

1 Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo 192-0397, Japan 
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Soma, Teruhiko. Existence of ruled wrappings in hyperbolic 3–manifolds. Geometry & topology, Tome 10 (2006) no. 2, pp. 1173-1184. doi : 10.2140/gt.2006.10.1173. http://geodesic.mathdoc.fr/articles/10.2140/gt.2006.10.1173/

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