Orthogonal separation of variables for spaces of constant curvature
Differential Geometry
2026-04-07 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct all orthogonal separating coordinates in constant curvature spaces of arbitrary signature. Further, we construct explicit transformation between orthogonal separating and flat or generalised flat coordinates, as well as explicit formulas for the corresponding Killing tensors and the St\"ackel matrices.
Keywords
Cite
@article{arxiv.2212.01605,
title = {Orthogonal separation of variables for spaces of constant curvature},
author = {Alexey V. Bolsinov and Andrey Yu. Konyaev and Vladimir S. Matveev},
journal= {arXiv preprint arXiv:2212.01605},
year = {2026}
}
Comments
28 pages, one figure. Comments are welcome