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 Rm including isothermic surfaces, Guichard nets, and some other families of orthogonal nets.

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