Add to ORKGGiven 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 bundle and the Hamiltonian density is G-invariant, we study the reduction of this formulation to obtain an analogue of Poisson–Poincaré reduction for field theories. This procedure is related to the Lagrange–Poincaré reduction for field theories via a Legendre transformation. Finally, an application to a model of a charged strand evolving in an electric field is given
This work introduces a unified approach to the reduction of Poisson manifolds using their descriptio...
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two ...
It has been a long standing question how to extend the canonical Poisson bracket formulation from cl...
Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equa...
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We a...
As is well-known, there is a variational principle for the Euler–Poincaré equations on a Lie algebr...
In this work we develop a Lagrangian reduction theory for covariant field theories with local symmet...
As is well-known, there is a variational principle for theEuler–Poincar ́e equations on a Lie algebr...
A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived....
A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived....
In this work we develop a Lagrangian reduction theory for covariant field theories with local symmet...
We analyse the problem of defining a Poisson bracket structure on the space of solutions of the equa...
Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplec...
This paper develops a reduction theory for Dirac structures that includes, in a unified way, reducti...
Given a $\mathfrak{g}$-action on a Poisson manifold $(M, \pi)$ and an equivariant map $J: M \rightar...
This work introduces a unified approach to the reduction of Poisson manifolds using their descriptio...
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two ...
It has been a long standing question how to extend the canonical Poisson bracket formulation from cl...
Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equa...
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We a...
As is well-known, there is a variational principle for the Euler–Poincaré equations on a Lie algebr...
In this work we develop a Lagrangian reduction theory for covariant field theories with local symmet...
As is well-known, there is a variational principle for theEuler–Poincar ́e equations on a Lie algebr...
A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived....
A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived....
In this work we develop a Lagrangian reduction theory for covariant field theories with local symmet...
We analyse the problem of defining a Poisson bracket structure on the space of solutions of the equa...
Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplec...
This paper develops a reduction theory for Dirac structures that includes, in a unified way, reducti...
Given a $\mathfrak{g}$-action on a Poisson manifold $(M, \pi)$ and an equivariant map $J: M \rightar...
This work introduces a unified approach to the reduction of Poisson manifolds using their descriptio...
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two ...
It has been a long standing question how to extend the canonical Poisson bracket formulation from cl...