Six-dimensional nearly Kaehler manifolds of cohomogeneity one (II)
Abstract
Let M be a six dimensional manifold, endowed with a cohomogeneity one action of G= SU2 x SU2, and Mreg its subset of regular points. We show that Mreg admits a smooth, 2-parameter family of G-invariant, non-isometric strict nearly Kaehler structures and that a 1-parameter subfamily of such structures smoothly extend over a singular orbit of type S3. This determines a new class of examples of nearly Kaehler structures on TS3
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