2 citations · 3 across the 3 of their papers we have counts for
3 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…
Cayley-Klein Poisson homogeneous spaces
Francisco J. Herranz, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
The nine two-dimensional Cayley-Klein geometries are firstly reviewed by following a graded contraction approach. Each geometry is considered as a set of three symmetrical homogene…