Geometry & Topology 11 (2007) 1507–1538

DOI: 10.2140/gt.2007.11.1507

arXiv: math.GT/0510432

Abstract

Given a closed orientable Euclidean cone 3–manifold C with cone angles ≤ π and which is not almost product, we describe the space of constant curvature cone structures on C with cone angles < π. 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

Mathematical Subject Classification

Primary: 57M50

References

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Publication

Received: 21 October 2005
Revised: 7 June 2007
Accepted: 11 May 2007
Published: 23 July 2007
Proposed: Jean-Pierre Otal
Seconded: Martin Bridson, Walter Neumann

Authors