English

Rigidity of geometrically finite hyperbolic cone-manifolds

Geometric Topology 2007-05-23 v2

Abstract

In a recent paper Hodgson and Kerckhoff prove a local rigidity theorem for finite volume, three dimensional hyperbolic cone-manifolds. In this paper we extend this result to geometrically finite cone-manifolds. Our methods also give a new proof of a local version of the classical rigidity theorem for geometrically finite hyperbolic 3-manifolds.

Keywords

Cite

@article{arxiv.math/0009149,
  title  = {Rigidity of geometrically finite hyperbolic cone-manifolds},
  author = {Kenneth Bromberg},
  journal= {arXiv preprint arXiv:math/0009149},
  year   = {2007}
}