Geodesic
Geometrization of 3-dimensional orbifolds
Michel Boileau1 ; Bernhard Leeb2 ; Joan Porti3
1 Laboratoire Émile Picard, CNRS UMR 5580, Université Paul Sabatier, 31062 Toulouse, France
2 Mathematisches Institut, Universität München, 80333 München, Germany
3 Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
Annals of mathematics, Tome 162 (2005) no. 1, pp. 195-290.

Voir la notice de l'article provenant de la source Annals of Mathematics website

This paper is devoted to the proof of the orbifold theorem: If $\mathcal{O}$ is a compact connected orientable irreducible and topologically atoroidal $3$-orbifold with nonempty ramification locus, then $\mathcal{O}$ is geometric (i.e. has a metric of constant curvature or is Seifert fibred). As a corollary, any smooth orientation-preserving nonfree finite group action on $S^3$ is conjugate to an orthogonal action.
DOI : 10.4007/annals.2005.162.195

Michel Boileau 1 ; Bernhard Leeb 2 ; Joan Porti 3

1 Laboratoire Émile Picard, CNRS UMR 5580, Université Paul Sabatier, 31062 Toulouse, France
2 Mathematisches Institut, Universität München, 80333 München, Germany
3 Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain 
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Michel Boileau; Bernhard Leeb; Joan Porti. Geometrization of 3-dimensional orbifolds. Annals of mathematics, Tome 162 (2005) no. 1, pp. 195-290. doi : 10.4007/annals.2005.162.195. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.162.195/

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