Orthogonal separation of variables for spaces of constant curvature

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 Stäckel...

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Bibliographic Details

Main Authors:	Alexey Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
Format:	Default Article
Published:	2024
Subjects:	Pure mathematics Separation of variables Finite-dimensional integrable systems Hamilton–Jacobi equation Constant curvature spaces Killing tensors Stäckel matrix
Online Access:	https://hdl.handle.net/2134/30727466.v1
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