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Discretization of multidimensional submanifolds associated with Spin-valued spectral problems

By Jan L. Cieslinski

Abstract

We present a large family of Spin(p,q)-valued discrete spectral problems. The associated discrete nets generated by the so called Sym-Tafel formula are circular nets (i.e., all elementary quadrilaterals are inscribed into circles). These nets are discrete analogues of smooth multidimensional immersions in R^m including isothermic surfaces, Guichard nets, and some other families of orthogonal nets.Comment: 11 page

Topics: Nonlinear Sciences - Exactly Solvable and Integrable Systems
Year: 2006
OAI identifier: oai:arXiv.org:nlin/0606010

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