The Geometry Of Higher-Order Hamilton Spaces; Applications to Hamiltonian Mechanics
Abstract
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*kM - 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.
0