Clifford lattices and a conformal generalization of Desargues' theorem

Alastair D King, Wolfgang K Schief

Research output: Contribution to journalArticle

2 Citations (Scopus)
133 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)1088-1096
Number of pages9
JournalJournal of Geometry and Physics
Volume62
Issue number5
Early online date30 Dec 2011
DOIs
Publication statusPublished - May 2012

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