66 citations · 91 across the 3 of their papers we have counts for
3 papers
Remarks on multisymplectic reduction
Arturo Echeverría-Enríquez, Miguel C. Muñoz-Lecanda, Narciso Román-Roy
The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for clas…
Invariant Forms and Automorphisms of Locally Homogeneous Multisymplectic Manifolds
A. Echeverría-Enríquez, A. Ibort, M. C. Muñoz-Lecanda +1
It is shown that the geometry of locally homogeneous multisymplectic manifolds (that is, smooth manifolds equipped with a closed nondegenerate form of degree > 1, which is locally…
Geometry of Lagrangian First-order Classical Field Theories
Arturo Echeverría-Enríquez, Miguel C. Muñoz-Lecanda, Narciso Román-Roy
We construct a lagrangian geometric formulation for first-order field theories using the canonical structures of first-order jet bundles, which are taken as the phase spaces of the…