Uniformization of small 3-orbifolds (Q2708172)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Uniformization of small 3-orbifolds |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformization of small 3-orbifolds |
scientific article |
Statements
3 December 2001
0 references
3-orbifold
0 references
small
0 references
geometric structure
0 references
uniformization
0 references
Uniformization of small 3-orbifolds (English)
0 references
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, Astérisque 272 (2001)], this result implies the uniformization theorem for compact irreducible 3-orbifolds. NEWLINENEWLINENEWLINEThe 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.
0 references
