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Specialized Orthonormal Frames and Embedding
Frank B. Estabrook Jet Propulsion Laboratory, California Institute of Technology,
4800 Oak Grove Drive, Pasadena, CA 91109 USA
Аннотация:
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.
Ключевые слова:
embedding; orthonormal frames; Cartan theory.
Поступила: 9 октября 2012 г.; в окончательном варианте 12 февраля 2013 г.; опубликована 15 февраля 2013 г.
Образец цитирования:
Frank B. Estabrook, “Specialized Orthonormal Frames and Embedding”, SIGMA, 9 (2013), 012, 5 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma795 https://www.mathnet.ru/rus/sigma/v9/p12
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