Second order Lagrangian dynamics on double cross product groups

Basit Öğe Kaydı
dc.authorid0000-0002-6766-0287
dc.authorid0000-0002-0457-9027
dc.authorid0000-0003-0925-8668
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.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
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.description.versionPublisher's Versionen_US
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.doi10.1016/j.geomphys.2020.103934
dc.identifier.endpage18
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.scopus2-s2.0-85091590694
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/2542
dc.identifier.urihttp://dx.doi.org/10.1016/j.geomphys.2020.103934
dc.identifier.volume159
dc.identifier.wosWOS:000596080700012
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkan Selçuken_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofJournal of Geometry and Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
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

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