Horizontally conformal submersions of CR-submanifolds. (English) Zbl 1138.53031
Summary: It is shown that any horizontally conformal submersion of a CR-submanifold \(M\) of a Kähler manifold \(\overline M\) onto a Kähler manifold \(N\) is a Riemannian submersion. Moreover, if \(M\) is mixed geodesic, then it is proved that such submersion is a harmonic map.
MSC:
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 53C40 | Global submanifolds |
| 53C43 | Differential geometric aspects of harmonic maps |
