Kudeyt, MahmutEsen, OgulKudeyt, MahmutSutlu, Serkan2023-10-192023-10-19202300219-88781793-6977https://doi.org/10.1142/S0219887823500597https://hdl.handle.net/20.500.12469/5622We 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.eninfo:eu-repo/semantics/openAccessLagrangian SubmanifoldsHamiltonian-StructureLieDynamicsGeometryPoissonFormalismsMechanicsSystemsLiftsLagrangian SubmanifoldsHamiltonian-StructureLieDynamicsGeometryPoissonFormalismsTulczyjew's tripletMechanicsHamiltonian reductionSystemsLagrangian reductionLiftsEhresmann connectionArticle420WOS:00088792890000310.1142/S02198878235005972-s2.0-85143729614N/AQ2