Nijenhuis Integrability for Killing Tensors
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Nijenhuis Integrability for Killing Tensors
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| Creator |
Schöbel, K.
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| Description |
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.
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| Date |
2019-02-15T18:42:06Z
2019-02-15T18:42:06Z 2016 |
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| Type |
Article
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| Identifier |
Nijenhuis Integrability for Killing Tensors / K. Schöbel // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 10 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 70H06; 53A60; 53B20 DOI:10.3842/SIGMA.2016.024 http://dspace.nbuv.gov.ua/handle/123456789/147721 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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