Deforming Euclidean cone 3-manifolds

Joan Porti, Hartmut Weiss

Research output: Contribution to journalArticleResearchpeer-review

17 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)1507-1538
JournalGeometry and Topology
Publication statusPublished - 23 Jul 2007


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