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// Matematicheskie Zametki
// Archive
Mat. Zametki,
2023
Volume 114,
Issue 4,
Pages
579–590
(Mi mzm13961)
This article is cited in
2
papers
Orthogonal Curvilinear Coordinate Systems and Torsion-Free Sheaves over Reducible Spectral Curves
A. E. Mironov
ab
,
A. Senninger
a
,
I. A. Taimanov
ab
a
Novosibirsk State University
b
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
The methods of finite-gap integration are used to construct orthogonal curvilinear coordinate systems in the Euclidean space corresponding to sheaves of rank one without torsion over reducible singular spectral curves.
Keywords:
orthogonal curvilinear coordinates, finite-gap integration, spectral curve, torsion-free sheaf.
UDC:
517.957
MSC:
37K20
(14H70
37K25)
Received:
25.03.2023
DOI:
10.4213/mzm13961
Fulltext:
PDF file (583 kB)
References
Cited by
English version:
Mathematical Notes, 2023,
114
:4,
573–582
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024