Clifford lattices and a conformal generalization of Desargues' theorem

DOI10.1016/j.geomphys.2011.12.009zbMath1244.37042OpenAlexW2002568329MaRDI QIDQ413685

Alastair D. King, Wolfgang K. Schief

Publication date: 7 May 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/26802/1/King_JGP_2012_62_5_1088.pdf

zbMATH Keywords

integrable systemsconformal geometryDesargues' theoremClifford's configuration

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Cites Work

• Unnamed Item
• Classification of Integrable Discrete Equations of Octahedron Type
• A novel generalization of Clifford's classical point–circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian Kadomtsev–Petviashvili equation
• The inverse scattering transform: Semi-infinite interval
• Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multi-ratios
• Menelaus$apos$ theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy
• Desargues maps and the Hirota–Miwa equation
• The direct linearisation approach to hierarchies of integrable PDEs in 2 + 1 dimensions: I. Lattice equations and the differential-difference hierarchies

This page was built for publication: Clifford lattices and a conformal generalization of Desargues' theorem