Deformations of hyperbolic 3-cone-manioflds
Abstract
We show that any compact orientable hyperbolic 3-cone-manifold with cone angle 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.
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