2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119425In this paper, we classify 8-dimensional manifolds M admitting an SU(3) action of cohomogeneity one such that (i) M is simply connected and the orbit space M/G is isomorphic to [0,1], and (ii) M/G=S^1 and the principal orbits are simply connected. We discuss applications to the study of the group manifold SU(3) and to 8-dimensional quaternion-Kahler spaces.27 pagesDifferential Geometry57S25; 22E46, 57S15, 53C30, 53C26, 58D05Eight-dimensional SU(3)-manifolds of cohomogeneity onetext