18 citations · 20 across the 5 of their papers we have counts for
10 papers
Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage--Dedecker versus de Donder--Weyl
Frederic Helein, 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…
The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables
Frederic Helein, Joseph Kouneiher
This papers is concerned with multisymplectic formalisms which are the frameworks for Hamiltonian theories for fields theory. Our main purpose is to study the observable -fo…
Removability of singularities of harmonic maps into pseudo-Riemannian manifolds
Frederic Helein
We consider harmonic maps into pseudo-Riemannian manifolds. We show the removability of isolated singularities for continuous maps, i.e. that any continuous map from an open subset…
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…
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…
On Konopelchenko's representation for surfaces in 4 dimensions
Frederic Helein
The purpose of this short note is to relate a representation formula due to the Author and P. Romon for Lagrangian surfaces (see math.DG/0009202) to a more general Weierstrass repr…