Discretization of multidimensional submanifolds associated with Spin-valued spectral problems

Details Discretization of multidimensional submanifolds associated with Spin-valued spectral problems Discretization of multidimensional submanifolds associated with Spin-valued spectral problems

2006-06-02

arxiv.org/abs/nlin/0606010v1

Fundamental and Applied Mathematics, 2006

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages

Scientific paper

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.

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