Xavier Gràcia and Josep M Pons 2001 J. Phys. A: Math. Gen. 34 3047 doi:10.1088/0305-4470/34/14/311
Xavier Gràcia1 and Josep M Pons2
Show affiliationsNew geometric structures that relate the Lagrangian and Hamiltonian formalisms defined upon a singular Lagrangian are presented. Several vector fields are constructed in velocity space that give new and precise answers to several topics such as the projectability of a vector field to a Hamiltonian vector field, the computation of the kernel of the presymplectic form of a Lagrangian formalism, the construction of the Lagrangian dynamical vector fields and the characterization of dynamical symmetries.
Issue 14 (13 April 2001)
Received 20 October 2000
Xavier Gràcia and Josep M Pons 2001 J. Phys. A: Math. Gen. 34 3047
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