Deformations of hyperbolic 3-cone-manioflds

Sadayoshi Kojima

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arXiv · math/9809034

Deformations of hyperbolic 3-cone-manioflds

Sadayoshi Kojima

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Abstract

We show that any compact orientable hyperbolic 3-cone-manifold with cone angle at most πcan 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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Sadayoshi Kojima. 1998-09-07. Deformations of hyperbolic 3-cone-manioflds. https://arxiv.org/abs/math/9809034

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