African Journal Of Mathematical Physics Volume 2Number2 (2005)63-75 Structures Symplectiques Généralisées

After reviewing one of the basic motivation that led to the generalized symplectic structure, namely the geometric interpretation of Numbu’s Mechanics, we turn to study specific properties of this structure. In particular, we generalize the Darboux theorem and we give the relationships between Hamiltonian systems of the generalized symplectic mechanics and Numbu’s dynamics