Generalized antisymmetry conditions and their applications (Q1337855)

An equivalent form is provided, for the equation of the generalized antisymmetry condition of an operator \(F_*\) associated to an infinitely differentiable map \(F\) from \(J_k (n, m)\) to \(\mathbb{R}^p\); this result is applied for the classification of integrable evolutionary systems by means of laws of conservation. Also, is determined an iff condition for a function to be a conserved density of a system of equations which describes a certain type of differentiable manifold in \(J_\infty (n, m)\).