Rigidity of geometrically finite hyperbolic cone-manifolds

Details Rigidity of geometrically finite hyperbolic cone-manifolds Rigidity of geometrically finite hyperbolic cone-manifolds

2000-09-14

arxiv.org/abs/math/0009149v2

Mathematics

Geometric Topology

Scientific paper

In a recent paper Hodgson and Kerckhoff prove a local rigidity theorem for
finite volume, three dimensional hyperbolic cone-manifolds. In this paper we
extend this result to geometrically finite cone-manifolds. Our methods also
give a new proof of a local version of the classical rigidity theorem for
geometrically finite hyperbolic 3-manifolds.

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