Please use this identifier to cite or link to this item: 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
Authors: Farkas, Jozsef Zoltan
Contact Email: jzf@maths.stir.ac.uk
Keywords: Thurston-geometries
crystallographic groups
Issue Date: 2001
Publisher: ELibM / EMIS / Heldermann Verlag
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.
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.
Type: Journal Article
URI: http://hdl.handle.net/1893/2475
URL: http://www.emis.de/journals/BAG/vol.42/no.1/15.html
Rights: The publisher has not responded to our queries therefore this work cannot be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author; you can only request a copy if you wish to use this work for your own research or private study. 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.
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.
Affiliation: Mathematics - CSM Dept

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