4 citations · 5 across the 5 of their papers we have counts for
6 papers
Lie-Poisson reduction in principal bundles by a subgroup of the structure group
Miguel Ángel Berbel, Marco Castrillón López
We study Hamiltonian field theories on the multisymplectic bundle of a principal G-bundle with Hamiltonian densities invariant under a subgroup . Using the covariant br…
Hamiltonian Reduction in Affine Principal Bundles
Miguel Ángel Berbel, Marco Castrillón López
This paper presents a Hamiltonian reduction procedure for field theories over affine principal bundles introducing a canonical identification to describe the reduced multisymplecti…
Poisson-Poincaré reduction for Field Theories
Miguel Á. Berbel, Marco Castrillón López
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…
Rigid Body with Rotors and Reduction by Stages
Miguel Á. Berbel, M. Castrillón López
Rigid body with rotors is a widespread mechanical system modeled after the direct product , which under mild assumptions is the symmetry group…
Lagrangian Reduction by Stages in Field Theory
Miguel Á. Berbel, Marco Castrillón López
We propose a category of bundles in order to perform Lagrangian reduction by stages in covariant Field Theory. This category plays an analogous role to Lagrange-Poincaré bundles in…
Reduction (by stages) in the whole Lagrange Poincare category
Marco Castrillon Lopez, Miguel Angel Berbel
We complete the reduction scheme in the whole LP category, introduced in [7] to perform Lagrangian reduction by stages. We answer affirmatively the open question of whether reducti…