Regenerating hyperbolic cone 3-manifolds from dimension 2

[Régénérescense des 3-variétés coniques hyperboliques dès la dimension 2]

Porti, Joan

Annales de l'Institut Fourier, Tome 63 (2013), p. 1971-2015 / Harvested from Numdam

Résumé

On prouve qu’une 3-orbifold close qui fibre sur une 2-orbifold hyperbolique et polygonale admet une famille de structures coniques hyperboliques qu’on voit comme une régénérescence du polygone, pourvu que son périmètre soit minimal.

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 regenerations of the polygon, provided that the perimeter is minimal.

Détail

Publié le : 2013-01-01

MR 3186514 | Zbl 1293.57012

DOI : https://doi.org/10.5802/aif.2820
Classification:  57M50,  57N10
Mots clés: orbifold, 3-variété conique hyperbolique, dégénérescense, polygone hyperbolique, périmètre

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