Invariant forms and Hamiltonian systems: A geometrical setting
The authors study the theorem on the integral forms left invariant by the dynamics of regular Hamiltonian systems, which was proved in a local- coordinate language by Lee Hwa Chung in 1947. An original invariant geometric proof of the theorem is given. An application to the theory of canonical transformations in a geometrical language is considered which reveals the relation between the dynamical properties and the geometry of the system.
scientific article; zbMATH DE number 4107790