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

Mark D. Baker (1) , Daryl Cooper (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 UC Santa Barbara - University of California [Santa Barbara]

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

Mots clés: Klenian-groups; subgroups; manifolds

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Mark D. Baker, Daryl Cooper. Finite-volume hyperbolic 3–manifolds contain immersed quasi-Fuchsian surfaces. Algebraic and Geometric Topology, 2015, 15 (2), pp.1199-1228. ⟨10.2140/agt.2015.15.1199⟩. ⟨hal-01059307⟩