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math-ph2002★ 1 cited
Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory
Frederic Helein
In a first part we propose an introduction to multisymplectic formalisms, which are generalisations of Hamilton's formulation of Mechanics to the calculus of variations with severa…
math-ph2002★ 18 cited
Covariant Hamiltonian formalism for the calculus of variations with several variables
Frédéric Hélein, Joseph Kouneiher
The main purpose in the present paper is to build a Hamiltonian theory for fields which is consistent with the principles of relativity. For this we consider detailed geometric pic…