Open AccessWe present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk (1983). ...
Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories (2009-03-10)
Open AccessThe k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic ...