2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185531In a previous article it was proved that the extensions of the Taub-NUT geometry do not admit Killing-Yano tensors, even if they possess St\" {a}ckel-Killing tensors. Here the analysis is taken further, and it is shown that, in general, this class of metrics does not even admit f-symbols. The only exception is the original Taub-NUT metric which possesses four Killing-Yano tensors of valence two.8 pages, latex, no figures; minor corrections; version to appear in J.Phys.A: Math.GenHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyMathematical Physicstext