Deforming Euclidean cone 3-manifolds

Details Deforming Euclidean cone 3-manifolds Deforming Euclidean cone 3-manifolds

2005-10-20

arxiv.org/abs/math/0510432v2

Geom. Topol. 11 (2007), 1507--1538

Mathematics

Geometric Topology

Only changes for the grants footnotes have been made

Scientific paper

10.2140/gt.2007.11.1507

Given a closed orientable Euclidean cone 3-manifold C with cone angles less than or equal to pi, and which is not almost product, we describe the space of constant curvature cone structures on C with cone angles less than 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.

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