6-dimensional nearly Kaehler manifolds of cohomogeneity one

Abstract

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.

14 pages

References in corpus (1)

• The Srni lectures on non-integrable geometries with torsion

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