English

Discretization of multidimensional submanifolds associated with Spin-valued spectral problems

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.nlin/0606010,
  title  = {Discretization of multidimensional submanifolds associated with Spin-valued spectral problems},
  author = {Jan L. Cieslinski},
  journal= {arXiv preprint arXiv:nlin/0606010},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-07-22T18:15:30.445Z