2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35461The solutions of generalized Killing equation have been obtained for line element with initial $t^2 \oplus so(3)$ symmetry. The coefficients of the metric $g$ corresponding to these vector fields are written down.9 pages, LaTeX file, IHEP 93-121General Relativity and Quantum CosmologyConformal Killing Vectors in Five-Dimensional Spacetext