FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 1, PAGES 253-262

Discretization of multidimensional submanifolds associated with Spin-valued spectral problems

J. L. Cies'lin'ski

Abstract

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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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Last modified: July 8, 2006