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nlin.SI2020★ 4 cited
Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics
Andreas Vollmer
A non-degenerate second-order maximally conformally superintegrable system in dimension 2 naturally gives rise to a quadric with position dependent coefficients. It is shown how th…
math.DG2020★ 7 cited
Algebraic Conditions for Conformal Superintegrability in Arbitrary Dimension
Jonathan Kress, Konrad Schöbel, Andreas Vollmer
We show that the definition of a second order superintegrable system on a (pseudo-)Riemannian manifold gives rise to a conformally invariant notion of superintegrability. Conformal…