Slant submersions from almost product Riemannian manifolds

Hemi-slant submersions from almost product Riemannian manifolds

“…(a) If m 2 = 0, then M is an anti-invariant submersion [10]. (b) If m 1 = 0 and θ = 0, then M is an invariant submersion [11].…”

“…Besides there are many other notions related with that of anti-invariant Riemannian submersions. see:([1], [2], [4], [5], [9], [10], [11], [13], [14], [15], [22], [23], [24], [25], [28], [29], [30]). In particular, B.…”

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].…”

Quasi hemi-slant pseudo-Riemannian submersions in para-complex geometry

“…A C ∞ −submersion ψ can be defined according to the following conditions. A pseudo-Riemannian submersion ( [12], [16], [13], [17], [26]), an almost Hermitian submersion ( [27], [29]), bi-slant submanifold ( [3], [5]), a slant submersion ( [7], [11], [1], [19], [23]), bi-slant submersion ( [21]), an anti-invariant submersion ( [8], [9], [10], [24]), a hemi-slant submersion ( [28], [22]), a quasi-bi-slant Submersion ( [20]), a semi-invariant submersion ( [18], [25]), etc. As we know, Riemannian submersions were severally introduced by B. O'Neill ( [17]) and A.…”