Lagrangian and Hamiltonian Geometries: Applications to Analytical Mechanics
by Radu Miron
Publisher: arXiv 2011
Number of pages: 266
The aim of the present text is twofold: to provide a compendium of Lagrangian and Hamiltonian geometries and to introduce and investigate new analytical Mechanics: Finslerian, Lagrangian and Hamiltonian. The fundamental equations (or evolution equations) of these Mechanics are derived from the variational calculus...
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In these lecture notes we shall try to to provide a brief, but comprehensive introduction to Mather's theory for Lagrangian systems and its subsequent developments by Ricardo Mane and Albert Fathi. We shall consider only the autonomous case.
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