Six-Dimensional Nearly Kähler Manifolds of Cohomogeneity One (II)

Let M be a six dimensional manifold, endowed with a cohomogeneity one action of G = SU 2 × SU 2, and M reg ⊂ M its subset of regular points. We show that M reg admits a smooth, 2-parameter family of G-invariant, non-isometric strict nearly Kähler structures and that a 1-parameter subfamily of such structures smoothly extends over a singular orbit of type S 3. This determines a new class of examples of nearly Kähler structures on T S 3.