On orthogonal curvilinear coordinate systems in constant curvature spaces |
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Authors: | D A Berdinsky I P Rybnikov |
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Institution: | 1.Novosibirsk State University,Novosibirsk,Russia |
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Abstract: | We describe a method for constructing an n-orthogonal coordinate system in constant curvature spaces. The construction proposed is actually a modification of the Krichever
method for producing an orthogonal coordinate system in the n-dimensional Euclidean space. To demonstrate how this method works, we construct some examples of orthogonal coordinate systems
on the two-dimensional sphere and the hyperbolic plane, in the case when the spectral curve is reducible and all irreducible
components are isomorphic to a complex projective line. |
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