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

Mark D Baker; Daryl Cooper

doi:10.2140/agt.2015.15.1199

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Home > Journals > Algebr. Geom. Topol. > Volume 15 > Issue 2 > Article

2015 Finite-volume hyperbolic $3$–manifolds contain immersed quasi-Fuchsian surfaces

Mark D Baker, Daryl Cooper

Algebr. Geom. Topol. 15(2): 1199-1228 (2015). DOI: 10.2140/agt.2015.15.1199

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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.

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Mark D Baker. Daryl Cooper. "Finite-volume hyperbolic $3$–manifolds contain immersed quasi-Fuchsian surfaces." Algebr. Geom. Topol. 15 (2) 1199 - 1228, 2015. https://doi.org/10.2140/agt.2015.15.1199

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Received: 29 June 2014; Revised: 21 August 2014; Accepted: 26 August 2014; Published: 2015

First available in Project Euclid: 28 November 2017

zbMATH: 06442394

MathSciNet: MR3342690

Digital Object Identifier: 10.2140/agt.2015.15.1199

Subjects:

Primary: 20F65 , 57M50

Secondary: 20F67

Keywords: hyperbolic $3$–manifold , quasi-Fuchsian surface

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Mark D Baker, Daryl Cooper "Finite-volume hyperbolic $3$–manifolds contain immersed quasi-Fuchsian surfaces," Algebraic & Geometric Topology, Algebr. Geom. Topol. 15(2), 1199-1228, (2015)

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