Shrinkwrapping and the taming of hyperbolic 3-manifolds

Calegari, Danny¹ ; Gabai, David²

¹ Department of Mathematics, Caltech, Pasadena, California 91125
² Department of Mathematics, Princeton University, Princeton, New Jersey 08544

Journal of the American Mathematical Society, Tome 19 (2006) no. 2, pp. 385-446

Résumé

We introduce a new technique for finding CAT$(-1)$ surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental group is geometrically and topologically tame.

Détail

DOI : 10.1090/S0894-0347-05-00513-8

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