9 citations · 16 across the 2 of their papers we have counts for
3 papers
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…
math.DG2019★ 9 cited
An Algebraic Geometric Foundation for a Classification of Superintegrable Systems in Arbitrary Dimension
Jonathan Kress, Konrad Schöbel, Andreas Vollmer
Second-order superintegrable systems in dimensions two and three are essentially classified. With increasing dimension, however, the non-linear partial differential equations emplo…
math.DG2016
An algebraic geometric classification of superintegrable systems in the Euclidean plane
Jonathan Kress, Konrad Schöbel
We prove that the set of non-degenerate second order maximally superintegrable systems in the complex Euclidean plane carries a natural structure of a projective variety, equipped…