14 citations · 39 across the 7 of their papers we have counts for
7 papers
Superintegrability of 3-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems
Jose F. Carinena, Manuel F. Ranada, Mariano Santander
We study four particular 3-dimensional natural Hamiltonian systems defined in conformally Euclidean spaces. We prove their superintegrability and we obtain, in the four cases, the…
Superintegrability on the 3-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the Sphere and on the Hyperbolic space
Jose F. Cariñena, Manuel F. Rañada, Mariano Santander
The superintegrability of several Hamiltonian systems defined on three-dimensional configuration spaces of constant curvature is studied. We first analyze the properties of the Kil…
A Quasi-Lie Schemes Approach to Second-Order Gambier Equations
José F. Cariñena, Partha Guha, Javier de Lucas
A quasi-Lie scheme is a geometric structure that provides t-dependent changes of variables transforming members of an associated family of systems of first-order differential equat…
Averaged Lorentz Dynamics and an application in Plasma Dynamics
Ricardo Gallego Torrome
Using a geometric averaging procedure applied to a non-affine linear connection, we prove that for a narrow one particle distribution function and in the ultra-relativistic limit,…
On the two dimensional Berwald-Landsberg problem
Ricardo Gallego Torrome
The Berwald-Landsberg problem is considered for two dimensional manifolds. We sketch the proof that there are not -regular -global pure Landsberg surfaces. The me…
A geometric approach to integrability conditions for Riccati equations
Jose F. Cariñena, Javier de Lucas, Arturo Ramos
Several instances of integrable Riccati equations are analyzed from the geometric perspective of the theory of Lie systems. This provides us a unifying viewpoint for previous appro…