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http://hdl.handle.net/1893/2475| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | The classification of S²xR space groups |
| Author(s): | Farkas, Jozsef Zoltan |
| Contact Email: | jzf@maths.stir.ac.uk |
| Keywords: | Thurston-geometries crystallographic groups |
| Issue Date: | 2001 |
| Date Deposited: | 14-Oct-2010 |
| Citation: | Farkas JZ (2001) The classification of S²xR space groups. Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry, 42 (1), pp. 235-250. http://www.emis.de/journals/BAG/vol.42/no.1/15.html |
| Abstract: | The geometrization of 3-manifolds plays an important role in various topological investigations and in the geometry as well. Thurston classified the eight simply connected 3-dimensional maximal homogeneous Riemannian geometries. One of these is S^2xR, i.e. the direct product of the spherical plane S^2 and the real line R. Our purpose is the classification of the space groups of S^2xR, i.e. discrete transformation groups which act on S^2xR with a lattice on R (see section 3), analogously to that of the classical Euclidean geometry E^3. |
| URL: | http://www.emis.de/journals/BAG/vol.42/no.1/15.html |
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| Notes: | The full text version of this work is available from the journal web pages: http://www.emis.de/journals/BAG/vol.42/no.1/15.html. |
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