Orthogonal curvilinear coordinate systems corresponding to singular spectral curves

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dc.creatorMironov, A. E.
dc.creatorTaimanov, I. A.
dc.date2006-01-04
dc.date2006-01-18
dc.date.accessioned2026-07-07T07:39:25Z
dc.date.available2026-07-07T07:39:25Z
dc.descriptionWe study the limiting case of the Krichever construction of orthogonal curvilinear coordinate systems when the spectral curve becomes singular. We show that the case when the curve is reducible and all its irreducible components are rational curves the construction procedure reduces to solving systems of linear equations and simple computations with elementary functions. Therewith we demonstrate how such well-known coordinate systems as the polar coordinates, the cylindrical coordinates in the three-space, and the spherical coordinates in the Euclidean spaces fit in this scheme.
dc.description20 pages, 7 figures, minor typos corrected (first time the revised version was submiited in Russian)
dc.identifierhttps://arxiv.org/abs/math/0601062
dc.identifierhttp://arxiv.org/abs/math/0601062
dc.identifierProc. Steklov Inst. Math. 255 (2006), 169-184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121439
dc.subjectDifferential Geometry
dc.titleOrthogonal curvilinear coordinate systems corresponding to singular spectral curves
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