2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/193257Assuming the existence of a single rank-2 closed conformal Killing-Yano tensor with a certain symmetry we show that there exist mutually commuting rank-2 Killing tensors and Killing vectors. We also discuss the condition of separation of variables for the geodesic Hamilton-Jacobi equations.17 pages, no figure, LaTeXHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext