Geodesic
On projective models of Thurston geometries, some relevant notes on Nil orbifolds and manifolds
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 491-498

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A unified method is given for describing $3$-orbifolds and $3$-manifolds in terms of a projective interpretation of Thurston geometries. As an application, a new characterization is given for Nil-orbifolds and manifolds arising as fiber spaces over Euclidean $2$-orbifolds with prescribed fundamental groups. (Theorems 3.1–3.2, see also Figure 1).
Keywords: projective spheres, Thurston geometries, Nil-orbifolds and manifolds. 
@article{SEMR_2010_7_a34,
     author = {E. Moln\'ar},
     title = {On projective models of {Thurston} geometries, some relevant notes on {Nil} orbifolds and manifolds},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {491--498},
     publisher = {mathdoc},
     volume = {7},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a34/}
}
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E. Molnár. On projective models of Thurston geometries, some relevant notes on Nil orbifolds and manifolds. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 491-498. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a34/