The cross ratio and Clifford algebras

DOI10.1007/BF03041223zbMath0907.15018MaRDI QIDQ1386762

Jan L. Cieśliński

Publication date: 26 May 1998

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

zbMATH Keywords

Clifford algebraLamé equationsconformal invariantscomplex cross ratio

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Clifford algebras, spinors (15A66) Euclidean analytic geometry (51N20)

Related Items (7)

Lax triples for integrable surfaces in three-dimensional space ⋮ Semi-discrete isothermic surfaces ⋮ The spectral interpretation of \(n\)-spaces of constant negative curvature immersed in \({\mathbb{R}}^{2n-1}\) ⋮ Discretization of multidimensional submanifolds associated with Spin-valued spectral problems ⋮ On a quaternionic analogue of the cross-ratio ⋮ A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras ⋮ A class of linear spectral problems in Clifford algebras

Cites Work

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• Discrete surfaces with constant negative Gaussian curvature and the Hirota equation.
• The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach
• The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices
• The spectral interpretation of \(n\)-spaces of constant negative curvature immersed in \({\mathbb{R}}^{2n-1}\)
• Multidimensional quadrilateral lattices are integrable.
• A discrete version of the Darboux transform for isothermic surfaces
• A generalized formula for integrable classes of surfaces in Lie algebras
• Discrete isothermic surfaces.

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