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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 491–498
(Mi semr267)
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This article is cited in 6 scientific papers (total in 6 papers)
Research papers
On projective models of Thurston geometries, some relevant notes on Nil orbifolds and manifolds
E. Molnár BME, Institute of Mathematics, Department of Geometry,
Budapest, Hungary
Abstract:
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.
Received December 15, 2010, published December 29, 2010
Citation:
E. Molnár, “On projective models of Thurston geometries, some relevant notes on Nil orbifolds and manifolds”, Sib. Èlektron. Mat. Izv., 7 (2010), 491–498
Linking options:
https://www.mathnet.ru/eng/semr267 https://www.mathnet.ru/eng/semr/v7/p491
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