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The Geometry Of Higher-Order Hamilton Spaces; Applications to Hamiltonian Mechanics
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math.DGmath-phmath.MP
keywords
geometrychaptersdualhamiltonorderspacesthreeapplications
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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 $T^{*k}M$ - 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.
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