Deformations of Hyperbolic 3-cone-manifolds
نویسنده
چکیده
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.
منابع مشابه
The deformation theory of hyperbolic cone-3-manifolds with cone-angles less than 2π
This is the first in a series of two papers in which we develop the deformation theory of hyperbolic cone-3-manifolds with cone-angles less than 2π, i.e. contained in the interval (0, 2π). In the present paper we focus on deformations keeping the topological type of the conemanifold fixed.
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تاریخ انتشار 1998