Conformal triality of the Kepler problem.
Autor(a) principal: | |
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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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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 |
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eng |
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eng |
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openAccess |
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UFOP |
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Repositório Institucional da UFOP |
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Repositório Institucional da UFOP |
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