2 papers
math-ph2022
Some Applications of Affine in Velocities Lagrangians in Two-dimensional Systems
José F. Cariñena, José Fernández-Núñez
The 2-dimensional inverse problem for first-order systems is analysed and a method to construct an affine Lagrangian for such systems is developed. The determination of such Lagran…
math-ph2003
On singular Lagrangians affine in velocities
José F. Cariñena, José Fernández-Núñez, Manuel F. Rañada
The properties of Lagrangians affine in velocities are analyzed in a geometric way. These systems are necessarily singular and exhibit, in general, gauge invariance. The analysis o…