103 citations · 950 across the 45 of their papers we have counts for
4 papers · 1 filter
Reduction of Presymplectic Manifolds with Symmetry
A. Echeverrí a-Enrí quez, M. C. Muñoz-Lecanda, N. Román-Roy
Actions of Lie groups on presymplectic manifolds are analyzed, introducing the suitable comomentum and momentum maps. The subsequent theory of reduction of presymplectic dynamical…
Multivector Field Formulation of Hamiltonian Field Theories: Equations and Symmetries
A. Echeverría-Enríquez, M. C. Muñoz-Lecanda, N. Román-Roy
We state the intrinsic form of the Hamiltonian equations of first-order Classical Field theories in three equivalent geometrical ways: using multivector fields, jet fields and conn…
Mathematical Foundations of Geometric Quantization
A. Echeverria-Enriquez, M. C. Munoz-Lecanda, N. Roman-Roy +1
In this review the foundations of Geometric Quantization are explained and discussed. In particular, we want to clarify the mathematical aspects related to the geometrical structur…
On the Multimomentum Bundles and the Legendre Maps in Field Theories
A. Echeverria-Enriquez, M. C. Munoz-Lecanda, N. Roman-Roy
We study the geometrical background of the Hamiltonian formalism of first-order Classical Field Theories. In particular, different proposals of multimomentum bundles existing in th…