English

Regenerating hyperbolic cone 3-manifolds from dimension 2

Geometric Topology 2015-03-13 v2

Abstract

We prove that a closed 3-orbifold that fibers over a hyperbolic polygonal 2-orbifold admits a family of hyperbolic cone structures that are viewed as regeneration of the polygon, provided that the perimeter is minimal.

Keywords

Cite

@article{arxiv.1003.2494,
  title  = {Regenerating hyperbolic cone 3-manifolds from dimension 2},
  author = {Joan Porti},
  journal= {arXiv preprint arXiv:1003.2494},
  year   = {2015}
}

Comments

48 pages, 13 figures

R2 v1 2026-06-21T14:57:03.629Z