Orthogonal separation of variables for spaces of constant curvature

2022/12/03 by Alexey V. Bolsinov, Bolsinov, Alexey V., Andrey Yu. Konyaev +3 · 3 citations
Mathematics · Medicine · Physics and Astronomy · #Tensor decomposition and applications #Advanced Neuroimaging Techniques and Applications #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.2212.01605

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 Stäckel matrices.

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