Conformal triality of the Kepler problem.

Detalhes bibliográficos
Autor(a) principal: Cariglia, Marco
Data de Publicação: 2016
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFOP
Texto Completo: http://www.repositorio.ufop.br/handle/123456789/7025
https://doi.org/10.1016/j.geomphys.2016.03.030
Resumo: We show that the Kepler problem is projectively equivalent to null geodesic motion on the conformal compactification of Minkowski-4 space. This space realises the conformal triality of Minkowski, dS and AdS spaces.
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spelling Cariglia, Marco2016-10-05T14:18:12Z2016-10-05T14:18:12Z2016CARGILA, M. Conformal triality of the Kepler problem. Journal of Geometry and Physics, v. 1, p. 1, 2016. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0393044016300808>. Acesso em: 07 ago. 2016.0393-0440http://www.repositorio.ufop.br/handle/123456789/7025https://doi.org/10.1016/j.geomphys.2016.03.030We show that the Kepler problem is projectively equivalent to null geodesic motion on the conformal compactification of Minkowski-4 space. This space realises the conformal triality of Minkowski, dS and AdS spaces.O periódico Journal of Geometry and Physics concede permissão para depósito deste artigo no Repositório Institucional da UFOP. Número da licença: 3934851403417.info:eu-repo/semantics/openAccessIntegrable Hamiltonian systemsWeyl geometryNull liftsProjective dynamicsConformal triality of the Kepler problem.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-8924http://www.repositorio.ufop.br/bitstream/123456789/7025/2/license.txt62604f8d955274beb56c80ce1ee5dcaeMD52ORIGINALARTIGO_ConformalTrialityKepler.pdfARTIGO_ConformalTrialityKepler.pdfapplication/pdf362749http://www.repositorio.ufop.br/bitstream/123456789/7025/1/ARTIGO_ConformalTrialityKepler.pdf11517e32983b26d5e59058beb57ad362MD51123456789/70252019-10-14 11:50:22.211oai:localhost: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ório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332019-10-14T15:50:22Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false
dc.title.pt_BR.fl_str_mv Conformal triality of the Kepler problem.
title Conformal triality of the Kepler problem.
spellingShingle Conformal triality of the Kepler problem.
Cariglia, Marco
Integrable Hamiltonian systems
Weyl geometry
Null lifts
Projective dynamics
title_short Conformal triality of the Kepler problem.
title_full Conformal triality of the Kepler problem.
title_fullStr Conformal triality of the Kepler problem.
title_full_unstemmed Conformal triality of the Kepler problem.
title_sort Conformal triality of the Kepler problem.
author Cariglia, Marco
author_facet Cariglia, Marco
author_role author
dc.contributor.author.fl_str_mv Cariglia, Marco
dc.subject.por.fl_str_mv Integrable Hamiltonian systems
Weyl geometry
Null lifts
Projective dynamics
topic Integrable Hamiltonian systems
Weyl geometry
Null lifts
Projective dynamics
description We show that the Kepler problem is projectively equivalent to null geodesic motion on the conformal compactification of Minkowski-4 space. This space realises the conformal triality of Minkowski, dS and AdS spaces.
publishDate 2016
dc.date.accessioned.fl_str_mv 2016-10-05T14:18:12Z
dc.date.available.fl_str_mv 2016-10-05T14:18:12Z
dc.date.issued.fl_str_mv 2016
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.citation.fl_str_mv CARGILA, M. Conformal triality of the Kepler problem. Journal of Geometry and Physics, v. 1, p. 1, 2016. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0393044016300808>. Acesso em: 07 ago. 2016.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufop.br/handle/123456789/7025
dc.identifier.issn.none.fl_str_mv 0393-0440
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1016/j.geomphys.2016.03.030
identifier_str_mv CARGILA, M. Conformal triality of the Kepler problem. Journal of Geometry and Physics, v. 1, p. 1, 2016. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0393044016300808>. Acesso em: 07 ago. 2016.
0393-0440
url http://www.repositorio.ufop.br/handle/123456789/7025
https://doi.org/10.1016/j.geomphys.2016.03.030
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFOP
instname:Universidade Federal de Ouro Preto (UFOP)
instacron:UFOP
instname_str Universidade Federal de Ouro Preto (UFOP)
instacron_str UFOP
institution UFOP
reponame_str Repositório Institucional da UFOP
collection Repositório Institucional da UFOP
bitstream.url.fl_str_mv http://www.repositorio.ufop.br/bitstream/123456789/7025/2/license.txt
http://www.repositorio.ufop.br/bitstream/123456789/7025/1/ARTIGO_ConformalTrialityKepler.pdf
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