Some submanifolds of the associative Grassmann manifold (Q6611873)

The associative Grassmann manifold is an example of a quaternionic Kähler manifold. Some of its submanifolds were studied by \textit{K. Enoyoshi} and \textit{K. Tsukada} [Kodai Math. J. 43, No. 1, 170--192 (2020; Zbl 1437.53060)]. Using some Gauss maps, they created a harmonic immersion from Lagrangian submanifolds of \(S^6\) into the associative Grassmann manifold.\N\NThe author of this paper creates an extremely intricate immersion from almost complex submanifolds of \(S^6\) into the associative Grassmann manifold. Additionally, he constructs a \(CR\) immersion from \(3\)-dimensional \(CR\) submanifolds of \(S^6\) into the associative Grassmann manifold as an analogy of almost complex immersions. Furthermore, he shows that numerous orbits of the isotropy group of the isometry group are the image of some \(CR\) immersion in the associative Grassmann manifold.