#### Volume 11, issue 3 (2007)

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Deforming Euclidean cone 3–manifolds

### Joan Porti and Hartmut Weiß

Geometry & Topology 11 (2007) 1507–1538
 arXiv: math.GT/0510432
##### Abstract

Given a closed orientable Euclidean cone 3–manifold $C$ with cone angles $\le \pi$ and which is not almost product, we describe the space of constant curvature cone structures on $C$ with cone angles $<\pi$. We establish a regeneration result for such Euclidean cone manifolds into spherical or hyperbolic ones and we also deduce global rigidity for Euclidean cone structures.

##### Keywords
cone 3–manifold, deformation space
Primary: 57M50