Hamiltonian structures on foliations
Hamiltonian structures on foliations
We discuss Hamiltonian structures of the Gelfand–Dorfman complex of projectable vector fields and differential forms on a foliated manifold. Such a structure defines a Poisson structure on the algebra of foliated functions, and embeds the given foliation into a larger, generalized foliation with presymplectic leaves. In a so-called tame case, …