A note on totally umbilical pseudo-slant submanifolds of a nearly Kaehler manifold. (English) Zbl 1289.53118
Summary: In this paper, we study pseudo-slant submanifolds of nearly Kaehler manifolds. A classification theorem for totally umbilical pseudo-slant submanifolds of a nearly Kaehler manifold is proved.
MSC:
| 53C40 | Global submanifolds |
| 53B25 | Local submanifolds |
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 53C55 | Global differential geometry of Hermitian and Kählerian manifolds |
