Bulletin of the
Korean Mathematical Society BKMS

In this paper, we define the almost h-slant submersion and the h-slant submersion which may be the extended version of the slant submersion [11]. And then we obtain some theorems which come from the slant submersion's cases. Finally, we construct some examples for the almost h-slant submersions and the h-slant submersions.

Keywords: Riemannian submersion, Kahler manifold, quaternionic Hermitian manifold, hyperkahler manifold.

MSC numbers: 53C15, 53C26, 53C43