We give a comprehensive review of various methods to define currents and the energy-
momentum tensor in classical field theory, with emphasis on a geometric point of view. The …

A Hamiltonian formulation of classes of distributed-parameter systems is presented, which
incorporates the energy flow through the boundary of the spatial domain of the system, and …

We present a general definition of the Poisson bracket between differential forms on the
extended multiphase space appearing in the geometric formulation of first order classical …

Canonical structure of classical field theory in n dimensions is studied within the covariant
polymomentum Hamiltonian formulation of De Donder-Weyl (DW). The bi-vertical (n+ 1) …

We provide new insights into the contact Hamiltonian and Lagrangian formulations of
dissipative mechanical systems. In particular, we state a new form of the contact dynamical …

A multisymplectic structure on a manifold is defined by a closed differential form with zero
characteristic distribution. Starting from the linear case, some of the basic properties of …

Contact geometry allows us to describe some thermodynamic and dissipative systems. In
this paper we introduce a new geometric structure in order to describe time-dependent …

Several recent results on the Hamiltonian formalism in the calculus of variations are
presented. In particular, I propose a new candidate for the covariant phase space and show …

In the framework of the geometric formulation of field theory, classical fields are represented
by sections of fibred manifolds, and their dynamics is phrased in jet manifold terms. The …

Abstract We develop the Batalin-Vilkovisky formalism for classical field theory on generic
globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the …