6-dimensional nearly Kaehler manifolds of cohomogeneity one

Details 6-dimensional nearly Kaehler manifolds of cohomogeneity one 6-dimensional nearly Kaehler manifolds of cohomogeneity one

2009-07-20

arxiv.org/abs/0907.3415v1

Mathematics

Differential Geometry

14 pages

Scientific paper

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.

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