Tulczyjew's Triplet With an Ehresmann Connection I: Trivialization and Reduction
| dc.contributor.author | Esen, Ogul | |
| dc.contributor.author | Kudeyt, Mahmut | |
| dc.contributor.author | Sutlu, Serkan | |
| dc.date.accessioned | 2023-10-19T15:13:10Z | |
| dc.date.available | 2023-10-19T15:13:10Z | |
| dc.date.issued | 2023 | |
| 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.doi | 10.1142/S0219887823500597 | en_US |
| dc.identifier.issn | 0219-8878 | |
| dc.identifier.issn | 1793-6977 | |
| dc.identifier.scopus | 2-s2.0-85143729614 | en_US |
| dc.identifier.uri | https://doi.org/10.1142/S0219887823500597 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12469/5622 | |
| 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.rights | info:eu-repo/semantics/openAccess | en_US |
| 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 |
| dspace.entity.type | Publication | |
| gdc.author.id | Esen, Oğul/0000-0002-6766-0287 | |
| gdc.author.id | Kudeyt, Mahmut/0000-0002-0457-9027 | |
| gdc.author.wosid | Esen, Oğul/AAA-3950-2021 | |
| gdc.author.wosid | Sütlü, Serkan/HGD-9071-2022 | |
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| gdc.description.departmenttemp | [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 |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 20 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3043863901 | |
| gdc.identifier.wos | WOS:000887928900003 | en_US |
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| gdc.oaire.keywords | Lagrangian Submanifolds | |
| gdc.oaire.keywords | Mathematics - Differential Geometry | |
| gdc.oaire.keywords | Hamiltonian reduction | |
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| gdc.oaire.keywords | 70H33, 70G45 | |
| gdc.oaire.keywords | Lie | |
| gdc.oaire.keywords | Formalisms | |
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| gdc.oaire.keywords | Lifts | |
| gdc.oaire.keywords | Differential Geometry (math.DG) | |
| gdc.oaire.keywords | Lagrangian reduction | |
| gdc.oaire.keywords | Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics | |
| gdc.oaire.keywords | Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics | |
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| gdc.virtual.author | Kudeyt, Mahmut | |
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