Discrete analogs of the Darboux-Egoroff metrics
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 1999
- DOI:
- 10.48550/arXiv.hep-th/9905168
- arXiv:
- arXiv:hep-th/9905168
- Bibcode:
- 1999hep.th....5168A
- Keywords:
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- High Energy Physics - Theory;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Exactly Solvable and Integrable Systems
- E-Print:
- 27 pages, LaTeX 2e