Discretization of multidimensional submanifolds associated with Spin-valued spectral problems

J. L. Cieslinski

Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 1, pp. 253-262.

Résumé

We present a large family of $\mathrm{Spin}(p,q)$-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 $\mathbb R^m$ including isothermic surfaces, Guichard nets, and some other families of orthogonal nets.

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