67 citations · 330 across the 21 of their papers we have counts for
4 papers · 2 filters
Singular lagrangians: some geometric structures along the Legendre map
Xavier Gracia, Josep M. Pons
New geometric structures that relate the lagrangian and hamiltonian formalisms defined upon a singular lagrangian are presented. Several vector fields are constructed in velocity s…
Fibre derivatives: some applications to singular lagrangians
Xavier Gracia
The fibre derivative of a bundle map is studied in detail. In the particular case of a real function, several constructions useful to study singular lagrangians are presented. Some…
Canonical Noether symmetries and commutativity properties for gauge systems
Xavier Gracia, Josep M. Pons
For a dynamical system defined by a singular Lagrangian, canonical Noether symmetries are characterized in terms of their commutation relations with the evolution operators of Lagr…
Some geometric aspects of variational calculus in constrained mechanics
Xavier Gracia, Jesus Marin-Solano, Miguel-C. Munoz-Lecanda
We give a geometric description of variational principles in mechanics, with special attention to constrained systems. For the general case of nonholonomic constraints, a unified v…