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

Abstract

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)].