Add to ORKGGiven a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equations is described. When the fiber bundle is a G-principal bundle and the Hamiltonian density is G-invariant, the reduction of this formulation is studied thus obtaining the analog of the Lie-Poisson reduction for field theories. The relation of this reduction with the Lagrangian reduction and the Lagrangian and Poisson reduction for electromagnetism are also analyzed
Abstract. We study the relations between the equations of first-order Lagrangian field theory on fib...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
Given a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the Hamilt...
In this work we develop a Lagrangian reduction theory for covariant field theories with local symmet...
The classical Poisson reduction of a given Lagrangian system with (local) gauge symmetries has to be...
In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian a...
In this work, we develop a Lagrangian reduction theory for covariant field theories with gauge symme...
In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian a...
Let $\pi:P\to M^n$ be a principal G-bundle, and let ${\mathcal{L}}: J^1P \to\Lambda^n(M)$ b...
In a gauge theory, one can define the Poisson brackets of gauge-invariant functions ("observables") ...
Let $\pi:P\to M^n$ be a principal G-bundle, and let ${\mathcal{L}}: J^1P \to\Lambda^n(M)$ be a G-inv...
In this work we develop a Lagrangian reduction theory for covariant field theories with local symmet...
This paper develops a reduction theory for Dirac structures that includes, in a unified way, reducti...
This paper develops a reduction theory for Dirac structures that includes in a unified way, reductio...
Abstract. We study the relations between the equations of first-order Lagrangian field theory on fib...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
Given a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the Hamilt...
In this work we develop a Lagrangian reduction theory for covariant field theories with local symmet...
The classical Poisson reduction of a given Lagrangian system with (local) gauge symmetries has to be...
In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian a...
In this work, we develop a Lagrangian reduction theory for covariant field theories with gauge symme...
In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian a...
Let $\pi:P\to M^n$ be a principal G-bundle, and let ${\mathcal{L}}: J^1P \to\Lambda^n(M)$ b...
In a gauge theory, one can define the Poisson brackets of gauge-invariant functions ("observables") ...
Let $\pi:P\to M^n$ be a principal G-bundle, and let ${\mathcal{L}}: J^1P \to\Lambda^n(M)$ be a G-inv...
In this work we develop a Lagrangian reduction theory for covariant field theories with local symmet...
This paper develops a reduction theory for Dirac structures that includes, in a unified way, reducti...
This paper develops a reduction theory for Dirac structures that includes in a unified way, reductio...
Abstract. We study the relations between the equations of first-order Lagrangian field theory on fib...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...