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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