The deformation theory of hyperbolic cone-3-manifolds with cone-angles less than $2\pi$
Differential Geometry
2013-03-13 v2 Geometric Topology
Abstract
We develop the deformation theory of hyperbolic cone-3-manifolds with cone-angles less than , i.e. contained in the interval . In the present paper we focus on deformations keeping the topological type of the cone-manifold fixed. We prove local rigidity for such structures. This gives a positive answer to a question of A. Casson.
Cite
@article{arxiv.0904.4568,
title = {The deformation theory of hyperbolic cone-3-manifolds with cone-angles less than $2\pi$},
author = {Hartmut Weiss},
journal= {arXiv preprint arXiv:0904.4568},
year = {2013}
}
Comments
Minor corrections; references updated