We show that any compact orientable hyperbolic 3-cone-manifold with cone angles at most π 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.
|Number of pages||48|
|Journal||Journal of Differential Geometry|
|Publication status||Published - 1998|
- Hyperbolic manifold
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology