Hemi-slant submersions from almost product Riemannian manifolds

Abstract

In this paper, we introduce hemi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a hemi-slant submersion to be totally geodesic.

Generic Submersions in Contact Geometry

“…In this section we define and study the concept of generic submersion from an almost contact metric manifold onto a Riemannian manifold. We would like to mention that there are other notions of generic submanifolds, [12,13,14].…”

Clairaut semi invariant submersions from locally product Riemannian manifolds

“…and the same idea investigated by Ozdemir et al [20] and [12]. After, some researchers study some different types of Riemannian submersions such as pointwise slant submersion [23,3,7,17], generic submersion [24,1,26,22], Lorentzian Clairaut submersions [2], slant submersion [8,29,16,13,15], semi-slant submersion [21], hemi-slant submersion [33].…”

Clairaut Pointwise Slant Submersion from Locally Product Riemannian Manifolds

“…Most of the studies related to Riemannian, almost Hermitian or contact Riemannian submersions can be found in the book [9]. Then, some researchers studies some different types of Riemannian submersions such as generic submersion [1,7,23,27], slant submersion [29,17,12,16], semi-slant submersion [22], pointwise slant submersion [4,8,18], hemi-slant submersion [33], conformal semi-slant submersion [2] and pointwise semi-slant submersions [24]. Pointwise slant submersions from locally product Riemannian manifolds are natural generalizations of antiinvariant submersions from locally product Riemannian manifolds which were studied in [36].…”