Invariant classification of the rotationally symmetric R-separable webs for the Laplace equation in Euclidean space

Abstract

An invariant characterization of the rotationally symmetric R-separable webs for the Laplace equation in Euclidean space is given in terms of invariants and covariants of a real binary quartic canonically associated to the characteristic conformal Killing tensor which defines the webs.

arXiv comment25 pages, recently submitted to the Journal of Mathematical Physics

References in corpus (4)

• Killing Tensors and Conformal Killing Tensors from Conformal Killing Vectors
• Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space
• Complex variables for separation of Hamilton-Jacobi equation on real pseudo-Riemannian manifolds
• Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds

Cited by in corpus (2)

• Superintegrable 3-body systems on the line
• Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds