Tulczyjew's Triplet With an Ehresmann Connection I: Trivialization and Reduction

dc.authorid Esen, Oğul/0000-0002-6766-0287
dc.authorid Kudeyt, Mahmut/0000-0002-0457-9027
dc.authorwosid Esen, Oğul/AAA-3950-2021
dc.authorwosid Sütlü, Serkan/HGD-9071-2022
dc.contributor.author Esen, Ogul
dc.contributor.author Kudeyt, Mahmut
dc.contributor.author Kudeyt, Mahmut
dc.contributor.author Sutlu, Serkan
dc.contributor.other Core Program
dc.date.accessioned 2023-10-19T15:13:10Z
dc.date.available 2023-10-19T15:13:10Z
dc.date.issued 2023
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, Turkey en_US
dc.description.abstract We 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.sponsorship TUBITAK (the Scientific and Technological Research Council of Turkey) 2218, National Post-Doctoral Research Fellowship Program en_US
dc.description.sponsorship The 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.citationcount 0
dc.identifier.doi 10.1142/S0219887823500597 en_US
dc.identifier.issn 0219-8878
dc.identifier.issn 1793-6977
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-85143729614 en_US
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1142/S0219887823500597
dc.identifier.uri https://hdl.handle.net/20.500.12469/5622
dc.identifier.volume 20 en_US
dc.identifier.wos WOS:000887928900003 en_US
dc.khas 20231019-WoS en_US
dc.language.iso en en_US
dc.publisher World Scientific Publ Co Pte Ltd en_US
dc.relation.ispartof International Journal of Geometric Methods in Modern Physics en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 0
dc.subject Lagrangian Submanifolds
dc.subject Hamiltonian-Structure
dc.subject Lie
dc.subject Dynamics
dc.subject Lagrangian Submanifolds En_Us
dc.subject Geometry
dc.subject Hamiltonian-Structure En_Us
dc.subject Lie En_Us
dc.subject Poisson
dc.subject Dynamics En_Us
dc.subject Formalisms
dc.subject Geometry En_Us
dc.subject Poisson En_Us
dc.subject Mechanics
dc.subject Formalisms En_Us
dc.subject Systems
dc.subject Mechanics En_Us
dc.subject Tulczyjew's triplet en_US
dc.subject Systems En_Us
dc.subject Hamiltonian reduction en_US
dc.subject Lifts
dc.subject Lagrangian reduction en_US
dc.subject Lifts En_Us
dc.subject Ehresmann connection en_US
dc.title Tulczyjew's Triplet With an Ehresmann Connection I: Trivialization and Reduction en_US
dc.type Article en_US
dc.wos.citedbyCount 0
dspace.entity.type Publication
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