Symplectic Singularities and Solvable Hamiltonian Mappings
Symplectic Singularities and Solvable Hamiltonian Mappings
Abstract We study singularities of smooth mappings F̄ of ℝ 2n into symplectic space (ℝ 2n , ω̇) by their isotropic liftings to the corresponding symplectic tangent bundle (Tℝ 2n ,w). Using the notion of local solvability of lifting as a generalized Hamiltonian system, we introduce new symplectic invariants and …