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arXiv · 0904.4568

The deformation theory of hyperbolic cone-3-manifolds with cone-angles less than $2π$

Hartmut Weiss
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Abstract

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 cone-manifold fixed. We prove local rigidity for such structures. This gives a positive answer to a question of A. Casson.

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BibTeXRIS

Hartmut Weiss. 2009-06-08. The deformation theory of hyperbolic cone-3-manifolds with cone-angles less than $2π$. https://doi.org/10.2140/gt.2013.17.329

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