2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122197We consider a family of conical hyperkahler 8-metrics and we find the corresponding tri-Sasaki 7-metrics. We find in particular, a 7-dimensional fibration over the AdS-Kerr-Newmann-Taub-Nut solutions which is tri-Sasaki, and we consider several limits of the parameters of this solution. We also find an squashed version of these metrics, which is of weak $G_2$ holonomy. Construction of supergravity backgrounds is briefly discussed, in particular examples which do not possess $AdS_4$ near horizon limit.20 pages, no figures, two references correctedHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext