We review in simple terms the covariant approaches to the canonical formulation of classical
relativistic field theories (in particular gauge field theories and general relativity) and we …

We show that contact reductions can be described in terms of symplectic reductions in the
traditional Marsden–Weinstein–Meyer as well as the constant rank picture. The point is that …

We analyse the problem of defining a Poisson bracket structure on the space of solutions of
the equations of motions of first order Hamiltonian field theories. The cases of Hamiltonian …

We go on with the program started in the companion paper [CDI+] of defining a Poisson
bracket structure on the space of solutions of the equations of motion of first order …

Given a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the
Hamilton equations. When a Lie group G acts freely, properly, preserving the fibers of the …

This work contains a brief and elementary exposition of the foundations of Poisson and
symplectic geometries, with an emphasis on applications for Hamiltonian systems with …

Multisymplectic geometry has emerged as a fundamental framework for the geometric
description of Field Theories, extending the role that symplectic geometry plays in Classical …

We complete the program started in two companion papers of defining a Poisson bracket
structure on the space of solutions of the equations of motion of first order Hamiltonian field …

The inverse problem within free Electrodynamics and the coisotropic embedding theorem Page
1 International Journal of Geometric Methods in Modern Physics (2024) 2450131 (17 pages) c …

It has been a long standing question how to extend, in the finite-dimensional setting, the
canonical Poisson bracket formulation from classical mechanics to classical field theories, in …