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dc.contributor.author Schöbel, K.
dc.date.accessioned 2019-02-15T18:42:06Z
dc.date.available 2019-02-15T18:42:06Z
dc.date.issued 2016
dc.identifier.citation Nijenhuis Integrability for Killing Tensors / K. Schöbel // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 10 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 70H06; 53A60; 53B20
dc.identifier.other DOI:10.3842/SIGMA.2016.024
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147721
dc.description.abstract The fundamental tool in the classification of orthogonal coordinate systems in which the Hamilton-Jacobi and other prominent equations can be solved by a separation of variables are second order Killing tensors which satisfy the Nijenhuis integrability conditions. The latter are a system of three non-linear partial differential equations. We give a simple and completely algebraic proof that for a Killing tensor the third and most complicated of these equations is redundant. This considerably simplifies the classification of orthogonal separation coordinates on arbitrary (pseudo-)Riemannian manifolds. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue on Analytical Mechanics and Dif ferential Geometry in honour of Sergio Benenti. The full collection is available at http://www.emis.de/journals/SIGMA/Benenti.html. The author would like to acknowledge the anonymous referees for their contribution to improve the paper. 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 Nijenhuis Integrability for Killing Tensors uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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