论文标题

恒定曲率空间的变量的正交分离

Orthogonal separation of variables for spaces of constant curvature

论文作者

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

论文摘要

我们在任意特征的恒定曲率空间中构建所有正交分离坐标。此外,我们在正交分离和平坦或广义平坦坐标以及相应的杀伤张量和stäckel矩阵之间构建明确的转换。

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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