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

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dc.authoridEsen, Oğul/0000-0002-6766-0287
dc.authoridKudeyt, Mahmut/0000-0002-0457-9027
dc.authorwosidEsen, Oğul/AAA-3950-2021
dc.authorwosidSütlü, Serkan/HGD-9071-2022
dc.contributor.authorKudeyt, Mahmut
dc.contributor.authorKudeyt, Mahmut
dc.contributor.authorSutlu, Serkan
dc.date.accessioned2023-10-19T15:13:10Z
dc.date.available2023-10-19T15:13:10Z
dc.date.issued2023
dc.department-temp[Esen, Ogul] Gebze Tech Univ, Dept Math, TR-41400 Kocaeli, Turkey; [Kudeyt, Mahmut] Kadir Has Univ, Core Program, TR-34083 Istanbul, Turkey; [Sutlu, Serkan] Isik Univ, Dept Math, TR-34980 Istanbul, Turkeyen_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.sponsorshipTUBITAK (the Scientific and Technological Research Council of Turkey) 2218, National Post-Doctoral Research Fellowship Programen_US
dc.description.sponsorshipThe 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.identifier.citation0
dc.identifier.doi10.1142/S0219887823500597en_US
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85143729614en_US
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219887823500597
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5622
dc.identifier.volume20en_US
dc.identifier.wosWOS:000887928900003en_US
dc.identifier.wosqualityN/A
dc.khas20231019-WoSen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_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/openAccessen_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.subjectLagrangian Submanifolds
dc.subjectHamiltonian-Structure
dc.subjectLie
dc.subjectDynamics
dc.subjectGeometry
dc.subjectPoisson
dc.subjectFormalisms
dc.subjectTulczyjew's tripleten_US
dc.subjectMechanics
dc.subjectHamiltonian reductionen_US
dc.subjectSystems
dc.subjectLagrangian reductionen_US
dc.subjectLifts
dc.subjectEhresmann connectionen_US
dc.titleTulczyjew's triplet with an Ehresmann connection I: Trivialization and reductionen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationda3ff0ab-bec8-4989-9fb1-2125a00dcdab
relation.isAuthorOfPublication.latestForDiscoveryda3ff0ab-bec8-4989-9fb1-2125a00dcdab

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