Geometry & Topology, Vol. 7 (2003) Paper no. 24, pages 789--797.

Hyperbolic cone-manifolds with large cone-angles

Juan Souto

Abstract. We prove that every closed oriented 3-manifold admits a hyperbolic cone-manifold structure with cone-angle arbitrarily close to 2pi.

Keywords. Hyperbolic cone-manifold, Kleinian groups

AMS subject classification. Primary: 57M50. Secondary: 30F40, 57M60.

DOI: 10.2140/gt.2003.7.789

E-print: arXiv:math.GT/0401003

Submitted to GT on 3 June 2003. Paper accepted 13 November 2003. Paper published 28 November 2003.

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Juan Souto
Mathematisches Institut, Universitaet Bonn
Beringstr. 1, 53115 Bonn, Germany
Email: souto@math.uni-bonn.de
URL: http://www.math.uni-bonn.de/people/souto
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