Are Orthogonal Separable Coordinates Really Classified?
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Are Orthogonal Separable Coordinates Really Classified?
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| Creator |
Schöbel, K.
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| Description |
We prove that the set of orthogonal separable coordinates on an arbitrary (pseudo-)Riemannian manifold carries a natural structure of a projective variety, equipped with an action of the isometry group. This leads us to propose a new, algebraic geometric approach to the classification of orthogonal separable coordinates by studying the structure of this variety. We give an example where this approach reveals unexpected structure in the well known classification and pose a number of problems arising naturally in this context.
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| Date |
2019-02-15T18:59:16Z
2019-02-15T18:59:16Z 2016 |
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| Type |
Article
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| Identifier |
Are Orthogonal Separable Coordinates Really Classified? / K. Schöbel // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 36 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14H70; 53A60; 58D27 DOI:10.3842/SIGMA.2016.041 http://dspace.nbuv.gov.ua/handle/123456789/147741 |
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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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