Mathematische Zeitschrift

, Volume 267, Issue 3–4, pp 781–802

Lens spaces and toroidal Dehn fillings

Article

Abstract

We show that if M is a hyperbolic 3-manifold with ∂M a torus such that M(r1) is a lens space and M(r2) is toroidal, then Δ(r1, r2) ≤ 4.

Keywords

Toroidal manifolds Lens spaces Dehn fillings 

Mathematics Subject Classification (2000)

Primary 57M50 

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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsChung-Ang UniversitySeoulKorea

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