On Quasi-Hemi-Slant Riemannian Maps

Abstract

Highlights• This paper focuses on quasi-hemi-slant Riemannian maps.• Distributions to be integrable and parallel investigated.• A quasi-hemi-slant Riemannian map to be totally geodesic investigated.

On h-Quasi-Hemi-Slant Riemannian Maps

“…Proof. Using Equations ( 4)-( 7), ( 13) and ( 14), we can easily obtain Equations ( 15)- (22). Now, we define…”

“…Nowadays, Riemannian maps and related topics have been actively studied by many authors, such as invariant and anti-invariant Riemannian maps [16], semi-invariant Riemannian maps [17], slant Riemannian maps [18], semi-slant Riemannian maps [19,20], hemislant Riemannian maps [21], quasi-hemi-slant Riemannian maps [22], almost h-semi-slant Riemannian maps [23], V-quasi-bi-slant Riemannian maps [24] and Clairaut semi-invariant Riemannian maps [25]. As a generalization of h-slant Riemannian maps [26], h-semi-slant Riemannian maps [9] and h-hemi-slant Riemannian maps, we define and study h-qhs Riemannian maps from almost Hermitian manifolds to Riemannian manifolds.…”

V-Quasi-Bi-Slant Riemannian Maps

“…Moreover, Şahin introduced many types of Riemannian maps ( [7][8][9][10][11][12]; see also [13][14][15][16][17][18]). One may consult the references [19][20][21] for further studies.…”

Conformal Quasi-Hemi-Slant Riemannian Maps

“…Recently, some optimal inequalities for Riemannian maps from Riemannian manifolds onto space forms were established in [12]. Moreover, S ¸ahin introduced any other types of Riemannian maps [20,21,22,23], see also [18,19]. In further studies, in particular Akyol, S ¸ahin and Yanan searched this type submersions [1,2,3,4,31] and Riemannian maps [26,27,32,35] under conformality case, see also [11].…”