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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 1, Pages 83–111
(Mi tmf5563)
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This article is cited in 6 scientific papers (total in 6 papers)
Quadrics on Riemannian spaces of constant curvature. Separation of variables and connection with the Gaudin magnet
V. B. Kuznetsov Leningrad State University
Abstract:
Integrable systems associated with separation of the variables in real Riemannian spaces of constant curvature are considered. An isomorphism between all such systems and the hyperbolic Gaudin magnet is established. This isomorphism is used in a classification of all coordinate systems that admit separation of the variables, the basis of which is the classification of the corresponding $L$ operators of the Gaudin magnet.
Received: 23.09.1991
Citation:
V. B. Kuznetsov, “Quadrics on Riemannian spaces of constant curvature. Separation of variables and connection with the Gaudin magnet”, TMF, 91:1 (1992), 83–111; Theoret. and Math. Phys., 91:1 (1992), 385–404
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https://www.mathnet.ru/eng/tmf5563 https://www.mathnet.ru/eng/tmf/v91/i1/p83
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Abstract page: | 305 | Full-text PDF : | 98 | References: | 42 | First page: | 1 |
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