Please use this identifier to cite or link to this item:
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:
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.
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.
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:
Notes: The full text version of this work is available from the journal web pages:
Licence URL(s):

Files in This Item:
File Description SizeFormat 
b42h1far.pdfFulltext - Published Version203.5 kBAdobe PDFUnder Embargo until 3000-12-01    Request a copy

Note: If any of the files in this item are currently embargoed, you can request a copy directly from the author by clicking the padlock icon above. However, this facility is dependent on the depositor still being contactable at their original email address.

This item is protected by original copyright

Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

The metadata of the records in the Repository are available under the CC0 public domain dedication: No Rights Reserved

If you believe that any material held in STORRE infringes copyright, please contact providing details and we will remove the Work from public display in STORRE and investigate your claim.