Pointwise Slant Submersions

Abstract

Abstract. The purpose of this paper is to study pointwise slant submersions from almost Hermitian manifolds which extends slant submersion in a natural way. Several basic results in this point of view are proven in this paper.

Pointwise Bi-slant Submersions

“…A surjective ∞ -map : → is a ∞ -submersion if it has maximal rank at any point of . According to the conditions on the map , we have several types the following: Riemannian submersion [9,13], slant and semi-slant submersions [10,11,14,17], anti-invariant and semi-invariant Riemannian submersions [1,15,16], pointwise slant submersions [4,12], hemi-slant submersions [2,19], Lagrangian submersions [20], generic submersions [18] etc.…”

Point-wise slant submanifolds in almost contact geometry

“…Recently, Sahin showed [15] the existence of warped product point-wise semislant submanifolds of Kaehler manifolds, contrary to the semislant case. He and Lee [10] also investigated point-wise slant submersion from almost Hermitian manifolds. The importance of slant submanifolds in almost contact geometry motivated us to define point-wise slant submanifolds of an almost contact and an almost contact 3-structure manifold.…”

Hemi-Slant Submersions

“…He studied these type of submersions from a Kählerian manifold onto a Riemannian manifold. There are many other notions related to anti-invariant Riemannian submersion, such as Lagrangian submersion [12], semi-invariant submersion [9], slant submersion [10], pointwise slant submersion [5] and semi-slant submersion [7]. In particular, the notions of semi-invariant and slant submersion are natural generalizations of the notion of anti-invariant submersion whereas the notion of H. M. Taştan et al…”