[Régénérescense des 3-variétés coniques hyperboliques dès la dimension 2]
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.
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.
Keywords: orbifold, hyperbolic cone 3-manifold, degeneration, hyperbolic polygon, perimeter
Mot clés : orbifold, 3-variété conique hyperbolique, dégénérescense, polygone hyperbolique, périmètre
Porti, Joan 1
@article{AIF_2013__63_5_1971_0,
author = {Porti, Joan},
title = {Regenerating hyperbolic cone 3-manifolds from dimension 2},
journal = {Annales de l'Institut Fourier},
pages = {1971--2015},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {63},
number = {5},
year = {2013},
doi = {10.5802/aif.2820},
mrnumber = {3186514},
zbl = {1293.57012},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2820/}
}
TY - JOUR AU - Porti, Joan TI - Regenerating hyperbolic cone 3-manifolds from dimension 2 JO - Annales de l'Institut Fourier PY - 2013 SP - 1971 EP - 2015 VL - 63 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2820/ DO - 10.5802/aif.2820 LA - en ID - AIF_2013__63_5_1971_0 ER -
%0 Journal Article %A Porti, Joan %T Regenerating hyperbolic cone 3-manifolds from dimension 2 %J Annales de l'Institut Fourier %D 2013 %P 1971-2015 %V 63 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2820/ %R 10.5802/aif.2820 %G en %F AIF_2013__63_5_1971_0
Porti, Joan. Regenerating hyperbolic cone 3-manifolds from dimension 2. Annales de l'Institut Fourier, Tome 63 (2013) no. 5, pp. 1971-2015. doi : 10.5802/aif.2820. https://aif.centre-mersenne.org/articles/10.5802/aif.2820/
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