Eight-dimensional SU(3)-manifolds of cohomogeneity one
نویسنده
چکیده
In 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 and the principal orbits are simply connected. We discuss applications to the study of the group manifold SU(3) and to 8-dimensional quaternion-Kähler spaces. MSC classification: 57S25; 22E46, 57S15, 53C30, 53C26, 58D05.
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