An extension of quaternionic metrics to octonions
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Publication Date: | 1985 |
Other Authors: | |
Format: | Article |
Language: | eng |
Source: | Repositório Institucional da UNESP |
Download full: | http://dx.doi.org/10.1063/1.526693 http://hdl.handle.net/11449/231036 |
Summary: | A treatment of a non-Riemannian geometry including internal complex, quaternionic, and octonionic space is made. Then, an interpretation of this geometry for the nonsymmetric theory of Einstein-Schrödinger, and for the unified theory of Borchsenius is showed. Finally, field equations in the extended octonionic geometry of space-time are obtained through a minimal action principle. |
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An extension of quaternionic metrics to octonionsA treatment of a non-Riemannian geometry including internal complex, quaternionic, and octonionic space is made. Then, an interpretation of this geometry for the nonsymmetric theory of Einstein-Schrödinger, and for the unified theory of Borchsenius is showed. Finally, field equations in the extended octonionic geometry of space-time are obtained through a minimal action principle.Institute de Física Teórica, Rua Pamplona, 145, São PauloDepartamento de Física Universidade de Brasília, 70.910 Brasília, DFPhysical Department Universidade de Brasília, CEP 70.910, BrasíliaInstitute de Física TeóricaUniversidade de Brasília (UnB)Marques, S.Oliveira, C. G.2022-04-29T08:43:19Z2022-04-29T08:43:19Z1985-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3131-3139http://dx.doi.org/10.1063/1.526693Journal of Mathematical Physics, v. 26, n. 12, p. 3131-3139, 1985.0022-2488http://hdl.handle.net/11449/23103610.1063/1.5266932-s2.0-34248562549Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Physicsinfo:eu-repo/semantics/openAccess2024-11-25T20:14:36Zoai:repositorio.unesp.br:11449/231036Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462024-11-25T20:14:36Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
An extension of quaternionic metrics to octonions |
title |
An extension of quaternionic metrics to octonions |
spellingShingle |
An extension of quaternionic metrics to octonions Marques, S. |
title_short |
An extension of quaternionic metrics to octonions |
title_full |
An extension of quaternionic metrics to octonions |
title_fullStr |
An extension of quaternionic metrics to octonions |
title_full_unstemmed |
An extension of quaternionic metrics to octonions |
title_sort |
An extension of quaternionic metrics to octonions |
author |
Marques, S. |
author_facet |
Marques, S. Oliveira, C. G. |
author_role |
author |
author2 |
Oliveira, C. G. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Institute de Física Teórica Universidade de Brasília (UnB) |
dc.contributor.author.fl_str_mv |
Marques, S. Oliveira, C. G. |
description |
A treatment of a non-Riemannian geometry including internal complex, quaternionic, and octonionic space is made. Then, an interpretation of this geometry for the nonsymmetric theory of Einstein-Schrödinger, and for the unified theory of Borchsenius is showed. Finally, field equations in the extended octonionic geometry of space-time are obtained through a minimal action principle. |
publishDate |
1985 |
dc.date.none.fl_str_mv |
1985-01-01 2022-04-29T08:43:19Z 2022-04-29T08:43:19Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1063/1.526693 Journal of Mathematical Physics, v. 26, n. 12, p. 3131-3139, 1985. 0022-2488 http://hdl.handle.net/11449/231036 10.1063/1.526693 2-s2.0-34248562549 |
url |
http://dx.doi.org/10.1063/1.526693 http://hdl.handle.net/11449/231036 |
identifier_str_mv |
Journal of Mathematical Physics, v. 26, n. 12, p. 3131-3139, 1985. 0022-2488 10.1063/1.526693 2-s2.0-34248562549 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Mathematical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
3131-3139 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
repositoriounesp@unesp.br |
_version_ |
1834483896088002560 |