Clifford lattices and a conformal generalization of Desargues' theorem

被引：2

作者：

King, A. D. ^{[1
]}

Schief, W. K. ^{[2
,3
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

[2] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[3] Australian Res Council, Ctr Excellence Math & Stat Complex Syst, Canberra, ACT, Australia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2012年 / 62卷 / 05期

关键词：

Conformal geometry; Integrable systems; Desargues' theorem; Clifford's configuration; GEOMETRY;

D O I：

10.1016/j.geomphys.2011.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Lattices composed of Clifford point-circle configurations provide a geometric representation of the discrete Schwarzian KP (dSKP) equation. Based on an A(n) 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. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1088 / 1096

页数：9

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