Geometrization of 3-dimensional orbifolds

• Autores: Joan Porti , Bernhard Leeb, Michel Boileau
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 162, Nº 1, 2005, págs. 195-290
• Idioma: inglés
• DOI: 10.4007/annals.2005.162.195
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• Resumen

  • This paper is devoted to the proof of the orbifold theorem: If O is a compact connected orientable irreducible and topologically atoroidal 3-orbifold with nonempty ramification locus, then O is geometric (i.e. has a metric of constant curvature or is Seifert fibred). As a corollary, any smooth orientationpreserving nonfree finite group action on S3 is conjugate to an orthogonal action.