62 citations · 279 across the 22 of their papers we have counts for
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nlin.SI2018★ 9 cited
Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems
Allan P. Fordy, Qing Huang
The Darboux-Koenigs metrics in 2D are an important class of conformally flat, non-constant curvature metrics with a single Killing vector and a pair of quadratic Killing tensors. I…
nlin.SI2018★ 12 cited
First Integrals from Conformal Symmetries: Darboux-Koenigs Metrics and Beyond
Allan P. Fordy
On spaces of constant curvature, the geodesic equations automatically have higher order integrals, which are just built out of first order integrals, corresponding to the abundance…
nlin.SI2018★ 3 cited
A Kaluza-Klein Reduction of Super-integrable Systems
Allan P. Fordy
Given a super-integrable system in degrees of freedom, possessing an integral which is linear in momenta, we use the "Kaluza-Klein construction" in reverse to reduce to a lower…