Slant submersions in paracontact geometry

Abstract

In this paper, we investigate some geometric properties of three types of slant submersions whose total space is an almost paracontact metric manifold. Mathematics Subject Classification (2010). 53C15,53C40

Some inequalities of anti-invariant Riemannian submersions in complex space forms

“…A C ∞ -submersion ϕ can be defined according to the following conditions: a (pseudo)-Riemannian submersion [1,8,12,17,20,21], an almost Hermitian submersion [23], a quaternionic submersion [13] , a slant submersion [11], a Clairaut Submersion [10], an anti-invariant submersion [6], conformal anti-invariant submersion [2], a semi-invariant submersion [18], etc. As far as we know, Riemannian submersions were presented by B. O'Neill [17] and A.…”

Bi-slant $\xi^{\perp}$-Riemannian submersions

“…Many interesting studies on several types of submersions have been done. For instance, slant and semi-slant submersions [3,[13][14][15][16]21], bi-slant submersions [23], quasi bi-slant submersions [22], anti-invariant Riemannian submersions [25,28], semiinvariant submersions [20,26], pointwise slant submersions [6,18], hemi-slant submersions [30], Lagrangian submersions [29], generic submersions [24].…”

Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry

“…A C ∞ −submersion ψ can be defined according to the following conditions. A pseudo-Riemannian submersion ( [4], [15], [21], [22], [34]), an almost Hermitian submersion ( [37], [32], [10]), a slant submersion ( [19], [9], [25], [31]), a para quaternionic submersion ( [5], [16] ), a Clairaut Submersion ( [12]), an anti-invariant submersion ( [11], [13], [30], [8]), anti-invariant Riemnnian submersion from cosymplectic manifolds ( [30], [14]), a quasi-bi-slant Submersion ( [27]), a pointwise slant submersion( [20], [28]), a hemi-slant submersion ( [35], [29]), a semi-invariant submersion ( [23], [33]), a semi-slant ξ ⊥ -Riemannian submersions ( [1], [26]), etc. As we know, Riemannian submersions were severally introduced by B. O'Neill ( [22]) and A.…”