Skip to main content
Log in

Rigidity of cusps in deformations of hyperbolic 3-orbifolds

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • [CL] Cooper, D., Long, D.D.: An undetected slope in a knot manifold. In: Topology '90, Proceedings of the Research Semester in Low Dimensional Topology at Ohio State University, pp. 111–121. Berlin New York: de Gruyter 1992

    Google Scholar 

  • [EP] Epstein, D.B.A., Penner, R.C.: Euclidean decompositions of non-compact hyperbolic manifolds. J. Differ. Geom.27, 67–80 (1988)

    Google Scholar 

  • [HMW] Hodgson, C.D., Meyerhoff, G.R., Weeks, J.R.: Surgeries on the Whitehead link yield geometrically similar manifolds. In: Topology '90, Proceedings of the Research Semester in Low Dimensional Topology at Ohio State University, pp. 195–206. Berlin New York. de Gruyter 1992

    Google Scholar 

  • [K1] Kapovich, M.: On faithful matrix representations of fundamental groups of 3-manifolds with toroidal boundary. (Preprint)

  • [K2] Kapovich, M.: Eisenstein series and Dehn surgery. (Preprint)

  • [KM] Kojima, S., Miyamoto, Y.: The minimum volume of hyperbolic 3-manifolds with totally geodesic boundary. (Preprint)

  • [NR1] Neumann, W.D., Reid, A.W.: Arithmetic of hyperbolic 3-manifolds. In: Topology '90, Proceedings of the Research Semester in Low Dimensional Topology at Ohio State University, pp. 273–310. Berlin New York: de Gruyter, 1992

    Google Scholar 

  • [NR2] Neumann, W.D., Reid, A.W.: Amalgamation and the invariant trace-field of Kleinian groups. Math. Proc. Camb. Philos. Soc.109, 509–515 (1991)

    Google Scholar 

  • [NZ] Neumann, W.D., Zagier, D.: Volumes of hyperbolic 3-manifolds. Topology24, 307–332 (1985)

    Google Scholar 

  • [R] Reid, A.W.: Ph. D. Thesis. University of Aberdeen (1987)

  • [T] Thurston, W.P.: The geometry and topology of 3-manifolds. Mimeographed lecture notes, Princeton University (1977)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Neumann, W.D., Reid, A.W. Rigidity of cusps in deformations of hyperbolic 3-orbifolds. Math. Ann. 295, 223–237 (1993). https://doi.org/10.1007/BF01444885

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01444885

Mathematics Subject Classification (1991)

Navigation