58 citations · 98 across the 6 of their papers we have counts for
4 papers · 1 filter
Superintegrability on sl(2)-coalgebra spaces
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
We review a recently introduced set of N-dimensional quasi-maximally superintegrable Hamiltonian systems describing geodesic motions, that can be used to generate "dynamically" a l…
Contractions, deformations and curvature
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco +1
The role of curvature in relation with Lie algebra contractions of the pseudo-ortogonal algebras so(p,q) is fully described by considering some associated symmetrical homogeneous s…
From su(2) Gaudin Models to Integrable Tops
Matteo Petrera, Orlando Ragnisco
In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body…
N-dimensional sl(2)-coalgebra spaces with non-constant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
An infinite family of ND spaces endowed with sl(2)-coalgebra symmetry is introduced. For all these spaces the geodesic flow is superintegrable, and the explicit form of their commo…