Discrete analogs of the Darboux-Egoroff metrics

Details Discrete analogs of the Darboux-Egoroff metrics Discrete analogs of the Darboux-Egoroff metrics

1999-05-24

arxiv.org/abs/hep-th/9905168v1

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTeX 2e

Scientific paper

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.

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