Algebraic & Geometric Topology

Finite-volume hyperbolic $3$–manifolds contain immersed quasi-Fuchsian surfaces

Mark D Baker and Daryl Cooper

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Abstract

The paper contains a new proof that a complete, non-compact hyperbolic 3–manifold with finite volume contains an immersed, closed, quasi-Fuchsian surface.

Article information

Source
Algebr. Geom. Topol., Volume 15, Number 2 (2015), 1199-1228.

Dates
Received: 29 June 2014
Revised: 21 August 2014
Accepted: 26 August 2014
First available in Project Euclid: 28 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1511895803

Digital Object Identifier
doi:10.2140/agt.2015.15.1199

Mathematical Reviews number (MathSciNet)
MR3342690

Zentralblatt MATH identifier
06442394

Subjects
Primary: 57M50: Geometric structures on low-dimensional manifolds 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx]
Secondary: 20F67: Hyperbolic groups and nonpositively curved groups

Keywords
hyperbolic $3$–manifold quasi-Fuchsian surface

Citation

Baker, Mark D; Cooper, Daryl. Finite-volume hyperbolic $3$–manifolds contain immersed quasi-Fuchsian surfaces. Algebr. Geom. Topol. 15 (2015), no. 2, 1199--1228. doi:10.2140/agt.2015.15.1199. https://projecteuclid.org/euclid.agt/1511895803


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