27 citations · 79 across the 11 of their papers we have counts for
4 papers · 1 filter
Structural aspects of Hamilton-Jacobi theory
José F. Cariñena, Xavier Gràcia, Giuseppe Marmo +3
In our previous papers [11,13] we showed that the Hamilton-Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dy…
Higher-order Variational Calculus on Lie algebroids
Eduardo Martínez
The equations for the critical points of the action functional defined by a Lagrangian depending on higher-order derivatives of admissible curves on a Lie algebroid are found. The…
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…