Regenerating hyperbolic cone 3-manifolds from dimension 2

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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 regenerations of the polygon, provided that the perimeter is minimal. © Association des Annales de ľinstitut Fourier, 2013, tous droits réservés.
Original languageEnglish
Pages (from-to)1971-2015
JournalAnnales de l'Institut Fourier
Issue number5
Publication statusPublished - 1 Dec 2013


  • Degeneration
  • Hyperbolic cone 3-manifold
  • Hyperbolic polygon
  • Orbifold
  • Perimeter


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