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

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

2010-03-12

arxiv.org/abs/1003.2501v1

Kluwer Academic Publishers, Dordrecht. The Netherland, 2002

Mathematics

Differential Geometry

latex2e, 261 pages, monograph published by Kluwer in 2002

Scientific paper

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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