Invariant Classification and Limits of Maximally Superintegrable Systems in 3D

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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dc.contributor.author	Capel, J.J.
dc.contributor.author	Kress, J.M.
dc.contributor.author	Post, S.
dc.date.accessioned	2019-02-12T20:36:35Z
dc.date.available	2019-02-12T20:36:35Z
dc.date.issued	2015
dc.identifier.citation	Invariant Classification and Limits of Maximally Superintegrable Systems in 3D / J.J. Capel, J.M. Kress, S. Post // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 27 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33C45; 33D45; 33D80; 81R05; 81R12
dc.identifier.other	DOI:10.3842/SIGMA.2015.038
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147015
dc.description.abstract	The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superintegrable systems on conformally flat, 3D complex Riemannian manifolds can be obtained from singular limits of a generic system on the sphere. By using the invariant classification, the limits are geometrically motivated in terms of transformations of roots of the classifying polynomials.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Invariant Classification and Limits of Maximally Superintegrable Systems in 3D	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA