Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction

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dc.authorid0000-0002-6766-0287
dc.authorid0000-0002-0457-9027
dc.authorid0000-0003-0925-8668
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorKudeyt, Mahmuten_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2022-12-12T14:50:27Z
dc.date.available2022-12-12T14:50:27Z
dc.date.issued2023-03-30
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.descriptionThe authors acknowledge also the support by TUBITAK (the Scientific and Technological Research Council of Turkey) 2218, National Post-Doctoral Research Fellowship Program.en_US
dc.description.abstractWe study the trivialization and the reduction of Tulczyjew's triplet, in the presence of a symmetry and an Ehresmann connection associated to it. We thus establish a geometric pathway for the Legendre transformations on singular dynamical systems.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationEsen, O., Kudeyt, M. & Sütlü, S. (2022). Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction. International Journal Of Geometric Methods In Modern Physics. 20(4), doi:10.1142/S0219887823500597en_US
dc.identifier.doi10.1142/S0219887823500597
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85143729614
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://hdl.handle.net/11729/5146
dc.identifier.urihttp://dx.doi.org/10.1142/S0219887823500597
dc.identifier.volume20
dc.identifier.wosWOS:000887928900003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkanen_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherWorld Scientificen_US
dc.relation.ispartofInternational Journal Of Geometric Methods In Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTulczyjew's tripleten_US
dc.subjectHamiltonian reductionen_US
dc.subjectLagrangian reductionen_US
dc.subjectEhresmann connectionen_US
dc.subjectLagrangian submanifoldsen_US
dc.subjectHamiltonian-structureen_US
dc.subjectLieen_US
dc.subjectDynamicsen_US
dc.subjectGeometryen_US
dc.subjectPoissonen_US
dc.subjectFormalismsen_US
dc.subjectMechanicsen_US
dc.subjectSystemsen_US
dc.subjectLiftsen_US
dc.titleTulczyjew's triplet with an Ehresmann connection I: Trivialization and reductionen_US
dc.typeArticleen_US

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