Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles
Künye
Esen, O., Gümral, H. & Sütlü, S. (2021). Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles. Theoretical and Applied Mechanics, 48(2), 201-236. doi:10.2298/TAM210312009EÖzet
Given a Lie group G, we elaborate the dynamics on T*T*G and T*TG, which is given by a Hamiltonian, as well as the dynamics on the Tul-czyjew symplectic space TT * G, which may be defined by a Lagrangian or a Hamiltonian function. As the trivializations we adapted respect the group structures of the iterated bundles, we exploit all possible subgroup reductions (Poisson, symplectic or both) of higher order dynamics.