Discrete analogs of the DarbouxEgoroff metrics
Abstract
Discrete analogs of the DarbouxEgoroff metrics are considered. It is shown that the corresponding lattices in the Euclidean space are described by discrete analogs of the Lame equations. It is proved that up to a gauge transformation these equations are necessary and sufficient for discrete analogs of rotation coefficients to exist. Explicit examples of the DarbouxEgoroff lattices are constructed by means of algebrogeometric methods.
 Publication:

arXiv eprints
 Pub Date:
 May 1999
 arXiv:
 arXiv:hepth/9905168
 Bibcode:
 1999hep.th....5168A
 Keywords:

 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Exactly Solvable and Integrable Systems
 EPrint:
 27 pages, LaTeX 2e