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arXiv · 2212.01605

Orthogonal separation of variables for spaces of constant curvature

Alexey V. Bolsinov·Andrey Yu. Konyaev·Vladimir S. Matveev
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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.

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Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev. 2022-12-03. Orthogonal separation of variables for spaces of constant curvature. https://doi.org/10.1515/forum-2023-0300

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