Discrete analogs of the Darboux-Egoroff metrics
High Energy Physics - Theory
2007-05-23 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
Discrete analogs of the Darboux-Egoroff 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 Darboux-Egoroff lattices are constructed by means of algebro-geometric methods.
Keywords
Cite
@article{arxiv.hep-th/9905168,
title = {Discrete analogs of the Darboux-Egoroff metrics},
author = {A. A. Akhmetshin and I. M. Krichever and Y. S. Volvovski},
journal= {arXiv preprint arXiv:hep-th/9905168},
year = {2007}
}
Comments
27 pages, LaTeX 2e