Specialized Orthonormal Frames and Embedding

Specialized Orthonormal Frames and Embedding

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-form...

Повний опис

Збережено в:
Бібліографічні деталі
Видавець:Інститут математики НАН України
Дата:2013
Автор: Estabrook, F.B.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2013
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/149215
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Цитувати:Specialized Orthonormal Frames and Embedding / F.B. Estabrook // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 6 назв. — англ.

Репозиторії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-149215
record_format dspace
spelling irk-123456789-1492152019-02-20T01:29:08Z Specialized Orthonormal Frames and Embedding Estabrook, F.B. 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. 2013 Article Specialized Orthonormal Frames and Embedding / F.B. Estabrook // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 6 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C20; 57R40; 58A15 DOI: http://dx.doi.org/10.3842/SIGMA.2013.012 http://dspace.nbuv.gov.ua/handle/123456789/149215 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Estabrook, F.B.
spellingShingle Estabrook, F.B.
Specialized Orthonormal Frames and Embedding
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Estabrook, F.B.
author_sort Estabrook, F.B.
title Specialized Orthonormal Frames and Embedding
title_short Specialized Orthonormal Frames and Embedding
title_full Specialized Orthonormal Frames and Embedding
title_fullStr Specialized Orthonormal Frames and Embedding
title_full_unstemmed Specialized Orthonormal Frames and Embedding
title_sort specialized orthonormal frames and embedding
publisher Інститут математики НАН України
publishDate 2013
url http://dspace.nbuv.gov.ua/handle/123456789/149215
citation_txt Specialized Orthonormal Frames and Embedding / F.B. Estabrook // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 6 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT estabrookfb specializedorthonormalframesandembedding
first_indexed 2023-05-20T17:32:15Z
last_indexed 2023-05-20T17:32:15Z
_version_ 1796153514714464256

Схожі ресурси