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dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorKuznetsov, V.B.
dc.contributor.authorMiller, W., Jr.
dc.date.accessioned2008-10-30T01:27:16Z
dc.date.available2008-10-30T01:27:16Z
dc.date.issued1994-04
dc.identifier.citationKalnins, E.G., Kuznetsov, V.B. & Miller, W., Jr. (1994). Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet. Journal of Mathematical Physics, 35, 1710.en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1203
dc.description.abstractIntegrable systems that are connected with orthogonal separation of variables in complex Riemannian spaces of constant curvature are considered herein. An isomorphism with the hyperbolic Gaudin magnet, previously pointed out by one of the authors, extends to coordinates of this type. The complete classification of these separable coordinate systems is provided by means of the corresponding L matrices for the Gaudin magnet. The limiting procedures (or calculus) which relate various degenerate orthogonal coordinate systems play a crucial role in the classification of all such systems.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/35/1710/1en_US
dc.rightsCopyright 1994 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspen_US
dc.subjectMathematicsen_US
dc.subjectRiemann spaceen_US
dc.subjectcurvatureen_US
dc.subjectintegrable systemsen_US
dc.subjectHamilton&minusen_US
dc.subjectJacobi Equationsen_US
dc.subjectlie groupsen_US
dc.subjectso groupsen_US
dc.subjecte groupsen_US
dc.subjectdifferential geometryen_US
dc.subjectcoordinatesen_US
dc.titleQuadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magneten_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1063/1.530566en_US
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
pubs.begin-page1710en_NZ
pubs.elements-id135636
pubs.end-page1731en_NZ
pubs.issue4en_NZ
pubs.volume35en_NZ


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