128 citations · 2.8k across the 116 of their papers we have counts for
118 papers
Alternative tangent and cotangent structures and their physical applications
José F. Cariñena, Jesús Clemente-Gallardo, Giuseppe Marmo
The conditions under which a given manifold may be given a tangent bundle or a cotangent bundle structure are analyzed. This is an important property arising in different conte…
Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structures
José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda
A geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tange…
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…
Quantum quasi-Lie systems: properties and applications
J. F. Cariñena, J. de Lucas, C. Sardón
A Lie system is a non-autonomous system of ordinary differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional Lie…
Reduction and integrability: a geometric perspective
José F. Cariñena
A geometric approach to integrability and reduction of dynamical system is developed from a modern perspective. The main ingredients in such analysis are the infinitesimal symmetri…
Infinitesimal time reparametrisation and its applications
José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda
A geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geo…