103 citations · 950 across the 45 of their papers we have counts for
4 papers · 2 filters
A geometrical analysis of the field equations in field theory
A. Echeverría-Enríquez, M. C. Muñoz-Lecanda, N. Román-Roy
In this review paper we give a geometrical formulation of the field equations in the Lagrangian and Hamiltonian formalisms of classical field theories (of first order) in terms of…
Singular Lagrangian Systems on Jet Bundles
M. de León, J. Marín-Solano, J. C. Marrero +2
The jet bundle description of time-dependent mechanics is revisited. The constraint algorithm for singular Lagrangians is discussed and an exhaustive description of the constraint…
On the construction of K-operators in field theories as sections along Legendre maps
A. Echeverría-Enríquez, J. Marín-Solano, M. C. Muñoz-Lecanda +1
The ``time-evolution operator'' in mechanics is a powerful tool which can be geometrically defined as a vector field along the Legendre map. It has been extensively used by several…
Time-dependent Lagrangians invariant by a vector field
M. C. Muñoz-Lecanda, N. Román-Roy, F. J. Yániz-Fernández
We study the reduction of non-autonomous regular Lagrangian systems by symmetries, which are generated by vector fields associated with connections in the configuration bundle of t…