English

Deforming Euclidean cone 3-manifolds

Geometric Topology 2014-11-11 v2

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.

Keywords

Cite

@article{arxiv.math/0510432,
  title  = {Deforming Euclidean cone 3-manifolds},
  author = {Joan Porti and Hartmut Weiss},
  journal= {arXiv preprint arXiv:math/0510432},
  year   = {2014}
}

Comments

Only changes for the grants footnotes have been made

R2 v1 2026-07-22T17:26:10.382Z