Tulczyjew's Triplet for Lie Groups III : Higher Order Dynamics and Reductions for Iterated Bundles

Oğul Esen, Hasan Gümral, Serkan Sütlü

Given a Lie group $G$, we elaborate the dynamics on $T^{\ast }{T}^{\ast }G$ and $T^{\ast }TG$, which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew symplectic space $T{T}^{\ast }G$, which…