Double vector bundles and duality
The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.
Dualité symplectique, feuillitages et géometrie du moment.
One gives the links between the notions of singular foliations, Γ-structures and momentum mapping in the context of symplectic geometry.
Dynamical connections and non-autonomous lagrangian systems