4 citations · 5 across the 2 of their papers we have counts for
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Stäckel and Eisenhart lifts, Haantjes geometry and Gravitation
Ondřej Kubů, Piergiulio Tempesta
We study lifts of integrable systems by means of generalized Stäckel geometry. To this end, we present the notion of Stäckel lift as a unified setting for the construction of new c…
Hamiltonian integrable systems in a magnetic field and Symplectic-Haantjes geometry
Ondřej Kubů, Daniel Reyes, Piergiulio Tempesta +1
We investigate the geometry of classical Hamiltonian systems immersed in a magnetic field in three-dimensional Riemannian configuration spaces. We prove that these systems admit no…
New classes of quadratically integrable systems with velocity dependent potentials: non-subgroup type cases
Md Fazlul Hoque, Ondřej Kubů, Antonella Marchesiello +1
We study quadratic integrability of systems with velocity dependent potentials in three-dimensional Euclidean space. Unlike in the case with only scalar potential, quadratic integr…