15 citations · 22 across the 2 of their papers we have counts for
3 papers
Conformal Killing vector fields and a virial theorem
José F. Cariñena, Irina Gheorghiu, Eduardo Martínez +1
The virial theorem is formulated both intrinsically and in local coordinates for a Lagrangian system of mechanical type on a Riemann manifold. An import case studied in this paper…
Virial theorem in quasi-coordinates and Lie algebroid formalism
José F. Cariñena, Irina Gheorghiu, Eduardo Martínez +1
In this paper, the geometric approach to the virial theorem developed in \cite{CFR12} is written in terms of quasi-velocities (see \cite{CNCS07}). A generalization of the virial th…
Some applications of quasi-velocities in optimal control
L. Abrunheiro, M. Camarinha, J. F. Cariñena +3
In this paper we study optimal control problems for nonholonomic systems defined on Lie algebroids by using quasi-velocities. We consider both kinematic, i.e. systems whose cost fu…