58 citations · 154 across the 9 of their papers we have counts for
4 papers · 1 filter
Multisymplectic formulation of Yang--Mills equations and Ehresmann connections
Frédéric Hélein
We present a multisymplectic formulation of the Yang--Mills equations. The connections are represented by normalized equivariant 1-forms on the total space of a principal bundle, w…
A smooth introduction to the wavefront set
Christian Brouder, Nguyen Viet Dang, Frédéric Hélein
The wavefront set provides a precise description of the singularities of a distribution. Because of its ability to control the product of distributions, the wavefront set was a key…
A note on some overdetermined elliptic problem
Frédéric Hélein, Laurent Hauswirth, Frank Pacard
We define the notion of an exceptional manifold to be a flat Riemannian manifold with boundary which supports a positive harmonic function satisfying simultaneously a zero Dirichle…
Finite dimesional Hamiltonian formalism for gauge and field theories
Frédéric Hélein, Joseph Kouneiher
We discuss in this paper the canonical structure of classical field theory in finite dimensions within the {\it{pataplectic}} Hamiltonian formulation, where we put forward the role…