Deformations of hyperbolic 3-cone-manioflds
Geometric Topology
2007-05-23 v1 Differential Geometry
Abstract
We show that any compact orientable hyperbolic 3-cone-manifold with cone angle at most \pi can be continuously deformed to a complete hyperbolic manifold homeomorphic to the complement of the singularity. This together with the local rigidity by Hodgson and Kerckhoff implies the global rigidity for compact orientable hyperbolic 3-cone-manifolds under the same angle assumption.
Cite
@article{arxiv.math/9809034,
title = {Deformations of hyperbolic 3-cone-manioflds},
author = {Sadayoshi Kojima},
journal= {arXiv preprint arXiv:math/9809034},
year = {2007}
}
Comments
to appear in J. Differential Geom