Clifford lattices and a conformal generalization of Desargues' theorem
Reference:
King, A. D. and Schief, W. K., 2012. Clifford lattices and a conformal generalization of Desargues' theorem. Journal of Geometry and Physics, 62 (5), pp. 1088-1096.
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Official URL:
http://dx.doi.org/10.1016/j.geomphys.2011.12.009
Abstract
Lattices composed of Clifford point–circle configurations provide a geometric representation of the discrete Schwarzian KP (dSKP) equation. Based on an An perspective on such lattices, it is shown that their integrability, and hence that of the dSKP equation, is a consequence of a conformal generalization of the classical Desargues theorem of projective geometry.
Details
| Item Type | Articles |
| Creators | King, A. D.and Schief, W. K. |
| DOI | 10.1016/j.geomphys.2011.12.009 |
| Departments | Faculty of Science > Mathematical Sciences |
| Publisher Statement | King_JGP_2012_62_5_1088.pdf: NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Geometry and Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Geometry and Physics, vol 62, issue 5, 2012, DOI 10.1016/j.geomphys.2011.12.009 |
| Refereed | Yes |
| Status | Published |
| ID Code | 26802 |
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