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

Baker, Mark D; Cooper, Daryl

doi:10.2140/agt.2015.15.1199

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

Mark D Baker and Daryl Cooper

Algebraic & Geometric Topology 15 (2015) 1199–1228

DOI: 10.2140/agt.2015.15.1199

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.

Keywords

hyperbolic $3$–manifold, quasi-Fuchsian surface

Mathematical Subject Classification 2010

Primary: 57M50, 20F65

Secondary: 20F67

References

Publication

Received: 29 June 2014

Revised: 21 August 2014

Accepted: 26 August 2014

Published: 22 April 2015

Authors

Mark D Baker
IRMAR Université de Rennes 1 35042 Rennes France

Daryl Cooper
Department of Mathematics University of California, Santa Barbara Santa Barbara, CA 93106 USA

Volume 15, issue 2 (2015)