Eight-dimensional SU(3)-manifolds of cohomogeneity one

Details Eight-dimensional SU(3)-manifolds of cohomogeneity one Eight-dimensional SU(3)-manifolds of cohomogeneity one

2006-11-27

arxiv.org/abs/math/0611796v1

Mathematics

Differential Geometry

27 pages

Scientific paper

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^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.

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