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dc.contributor.authorOğul, Esenen_US
dc.contributor.authorKudeyt, Mahmuten_US
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.date.accessioned2020-10-05T07:57:35Z
dc.date.available2020-10-05T07:57:35Z
dc.date.issued2021-02
dc.identifier.citationOğul, E., Kudeyt, M. & Sütlü, S. S. (2021). Second order Lagrangian dynamics on double cross product groups. Journal of Geometry and Physics, 159, 1-18. doi:10.1016/j.geomphys.2020.103934en_US
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.urihttps://hdl.handle.net/11729/2542
dc.identifier.urihttp://dx.doi.org/10.1016/j.geomphys.2020.103934
dc.description.abstractWe observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd order Euler–Lagrange equations on the 2nd order tangent group from the 1st order Euler–Lagrange equations on the iterated tangent group. We also present in detail the 2nd order Lagrangian dynamics on the 2nd order tangent group of a double cross product group.en_US
dc.language.isoengen_US
dc.publisherElsevier B.V.en_US
dc.relation.isversionof10.1016/j.geomphys.2020.103934
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEuler–Poincaré equationen_US
dc.subjectMatched pairs of Lie groupsen_US
dc.subjectSecond order tangent bundlesen_US
dc.titleSecond order Lagrangian dynamics on double cross product groupsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalJournal of Geometry and Physicsen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.contributor.authorID0000-0003-0925-8668
dc.identifier.volume159
dc.identifier.startpage1
dc.identifier.endpage18
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorSütlü, Serkan Selçuken_US
dc.relation.indexWOSen_US
dc.relation.indexScopusen_US
dc.relation.indexScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.description.qualityQ1
dc.description.wosidWOS:000596080700012


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