Orthogonal separation of variables for spaces of constant curvature

IF 1 3区 数学 Q1 MATHEMATICS Forum Mathematicum Pub Date : 2024-02-20 DOI:10.1515/forum-2023-0300
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
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引用次数: 0

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 Stäckel matrices.
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恒定曲率空间的正交变量分离
我们构建了任意特征恒曲率空间中的所有正交分离坐标。此外,我们还构建了正交分离坐标与平面或广义平面坐标之间的明确变换,以及相应的基林张量和斯塔克尔矩阵的明确公式。
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来源期刊
Forum Mathematicum
Forum Mathematicum 数学-数学
CiteScore
1.60
自引率
0.00%
发文量
78
审稿时长
6-12 weeks
期刊介绍: Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.
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