an:01587967
Zbl 0976.57017
Boileau, Michel; Leeb, Bernhard; Porti, Joan
Uniformization of small 3-orbifolds
EN
C. R. Acad. Sci., Paris, S??r. I, Math. 332, No. 1, 57-62 (2001).
00072799
2001
j
57M50 57M60
3-orbifold; small; geometric structure; uniformization
A 3-orbifold is called small if it has no essential 2-suborbifolds. In this note, the authors announce the uniformization of compact oriented small 3-orbifolds. Together with the uniformization of Haken 3-orbifolds [\textit{M. Boileau} and \textit{J. Porti}, Geometrization of 3-orbifolds of cyclic type, Ast??risque 272 (2001)], this result implies the uniformization theorem for compact irreducible 3-orbifolds.
The proof if only sketched and details should appear elsewhere. More details are given in the case with finite fundamental group, which requires a different approach.
Joan Porti (Bellaterra)