Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space

Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space

The equivalence problem for the orthogonal separable coordinate webs determined by Killing two-tensors defined in hyperbolic 3-space is solved within the framework of the invariant theory of Killing tensors. This work completes and extends the results presented in the classical 1950 paper by Olevsky...

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Veröffentlicht in:Journal of mathematical physics 2017-06, Vol.58 (6), p.1
Hauptverfasser: Cochran, Caroline M., McLenaghan, Raymond G., Smirnov, Roman G.
Format: Artikel
Sprache:eng
Schlagworte:
Equivalence
Geometry
Mathematical analysis
Mathematics
Physics
Tensors
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Zusammenfassung:The equivalence problem for the orthogonal separable coordinate webs determined by Killing two-tensors defined in hyperbolic 3-space is solved within the framework of the invariant theory of Killing tensors. This work completes and extends the results presented in the classical 1950 paper by Olevsky [Math. Sb. 27, 379–426 (1950)].
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4983998