Geometry & Topology

Hyperbolic cone-manifolds with large cone-angles

Juan Souto

Full-text: Open access

Abstract

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

Article information

Source
Geom. Topol., Volume 7, Number 2 (2003), 789-797.

Dates
Received: 3 June 2003
Accepted: 13 November 2003
First available in Project Euclid: 21 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.gt/1513883323

Digital Object Identifier
doi:10.2140/gt.2003.7.789

Mathematical Reviews number (MathSciNet)
MR2026548

Zentralblatt MATH identifier
1037.57010

Subjects
Primary: 57M50: Geometric structures on low-dimensional manifolds
Secondary: 30F40: Kleinian groups [See also 20H10] 57M60: Group actions in low dimensions

Keywords
hyperbolic cone–manifold Kleinian groups

Citation

Souto, Juan. Hyperbolic cone-manifolds with large cone-angles. Geom. Topol. 7 (2003), no. 2, 789--797. doi:10.2140/gt.2003.7.789. https://projecteuclid.org/euclid.gt/1513883323


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