Mathematische Zeitschrift

, Volume 267, Issue 3, pp 781–802

Lens spaces and toroidal Dehn fillings


DOI: 10.1007/s00209-009-0646-0

Cite this article as:
Lee, S. Math. Z. (2011) 267: 781. doi:10.1007/s00209-009-0646-0


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.


Toroidal manifoldsLens spacesDehn fillings

Mathematics Subject Classification (2000)

Primary 57M50

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsChung-Ang UniversitySeoulKorea