Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete analogs of the Darboux-Egoroff metrics   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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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin