The Geometry Of Higher-Order Hamilton Spaces; Applications to Hamiltonian Mechanics

The book can be divided in three parts: the Lagrange geometry of order $k$, presented in the first three chapters, the geometrical theory of the dual manifolds $T^{\ast k}M$ - chapters 4-7 and the geometry of Hamilton spaces of order $k$ and their subspaces, contained in the last four chapters. They are studied directly and as ‘dual’ geometry, via Legendre transformation.