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dc.contributor.author |
Estabrook, F.B. |
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dc.date.accessioned |
2019-02-19T18:48:06Z |
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dc.date.available |
2019-02-19T18:48:06Z |
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dc.date.issued |
2013 |
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dc.identifier.citation |
Specialized Orthonormal Frames and Embedding / F.B. Estabrook // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 6 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2010 Mathematics Subject Classification: 83C20; 57R40; 58A15 |
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dc.identifier.other |
DOI: http://dx.doi.org/10.3842/SIGMA.2013.012 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/149215 |
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dc.description.abstract |
We discuss some specializations of the frames of flat orthonormal frame bundles over geometries of indefinite signature, and the resulting symmetries of families of embedded Riemannian or pseudo-Riemannian geometries. The specializations are closed sets of linear constraints on the connection 1-forms of the framing. The embeddings can be isometric, as in minimal surfaces or Regge-Teitelboim gravity, or torsion-free, as in Einstein vacuum gravity. Involutive exterior differential systems are given, and their Cartan character tables calculated to express the well-posedness of the underlying partial differential embedding and specialization equations. |
uk_UA |
dc.description.sponsorship |
This paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html.
I thank the JPL Of fice of the Chief Scientist for a visiting appointment during which this research was carried out, and the Science Division for hospitality. My
colleagues John W. Armstrong, Curt Cutler, Massimo Tinto and Michele Vallisneri gave constant stimulus and support. |
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 |
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dc.title |
Specialized Orthonormal Frames and Embedding |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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