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 $T^{\ast k}M$ - 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.

latex2e, 261 pages, monograph published by Kluwer in 2002

References in corpus (1)

• On Generalized Randers Manifolds

Cited by in corpus (2)

• Lagrangian and Hamiltonian Geometries. Applications to Analytical Mechanics
• Higher Spin Theories from Finsler Geometry