Hypersurfaces of the Homogeneous Nearly Kähler S3×S3 with P-Invariant Holomorphic Distributions

In this paper, improving the results in [Ann Mat Pura Appl 199 (2020), 1147–1170] and [Manuscr Math, https://doi.org/10.1007/s00229-021-01308-4], we classify hypersurfaces of the homogeneous nearly Kähler manifold S 3 × S 3 of which holomorphic distributions are preserved by the canonical almost product structure P of S 3 × S 3 . We also characterize these hypersurfaces as Hopf ones with constant Reeb functions and hypersurfaces with weakly η -parallel shape operators.