12 citations · 28 across the 5 of their papers we have counts for
5 papers
Superintegrable systems on conformal surfaces
Jonathan Kress, Konrad Schöbel, Andreas Vollmer
We reconsider non-degenerate second order superintegrable systems in dimension two as geometric structures on conformal surfaces. This extends a formalism developed by the authors,…
Are Orthogonal Separable Coordinates Really Classified?
Konrad Schöbel
We prove that the set of orthogonal separable coordinates on an arbitrary (pseudo-)Riemannian manifold carries a natural structure of a projective variety, equipped with an action…
Nijenhuis Integrability for Killing Tensors
Konrad Schöbel
The fundamental tool in the classification of orthogonal coordinate systems in which the Hamilton-Jacobi and other prominent equations can be solved by a separation of variables ar…
The Variety of Integrable Killing Tensors on the 3-Sphere
Konrad Schöbel
Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We completely sol…
Algebraic Integrability Conditions for Killing Tensors on Constant Sectional Curvature Manifolds
Konrad P. Schöbel
We use an isomorphism between the space of valence two Killing tensors on an n-dimensional constant sectional curvature manifold and the irreducible GL(n+1)-representation space of…