Deforming Euclidean cone 3-manifolds

Joan Porti; Hartmut Weiss

doi:10.2140/gt.2007.11.1507

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Deforming Euclidean cone 3-manifolds

Joan Porti·Hartmut Weiss

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Abstract

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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Joan Porti, Hartmut Weiss. 2005-10-20. Deforming Euclidean cone 3-manifolds. https://doi.org/10.2140/gt.2007.11.1507

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