Hyperbolic cone-manifolds with large cone-angles

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The Journal

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Geometry & Topology 7 (2003) 789–797

DOI: 10.2140/gt.2003.7.789

We prove that every closed oriented 3–manifold admits a hyperbolic cone–manifold structure with cone–angle arbitrarily close to $2 π$ .

hyperbolic cone–manifold, Kleinian groups

Primary: 57M50

Secondary: 30F40, 57M60

Received: 3 June 2003

Accepted: 13 November 2003

Published: 28 November 2003

Proposed: Jean-Pierre Otal

Seconded: David Gabai, Benson Farb

Juan Souto
Mathematisches Institut Universität Bonn Beringstr. 1 53115 Bonn Germany