Fabio Podesta', Andrea Spiro
Published 2009-07-20Version 1
We consider 6-dimensional strict nearly Kaehler manifolds acted on by a compact, cohomogeneity one automorphism group G. We classify the compact manifolds of this class up to G-diffeomorphisms. We also prove that the manifold has constant sectional curvature whenever the group G is simple.
Existence and non-existence of cohomogeneity one Einstein metrics
Non-existence of cohomogeneity one Einstein metrics of two summands
On $G_2$ manifolds with cohomogeneity two symmetry
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