Dynamical structures for k-vector fields
A new class of dynamical structures that generalize electrodynamics is presented. In this construction the 1-jets of solutions are represented by a class of k-vector fields that extend the notion of a Poisson structure to multivectors of degree greater than two. These objects function as tangent vectors to solutions. Although the dynamical equations are systems of partial differential equations, the formalism is very similar to mechanics.
scientific article; zbMATH DE number 4069898