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.

Location: http://mech.math.msu.su/~fpm/eng/k06/k061/k06110h.htm

Last modified: July 8, 2006