V-Quasi-Bi-Slant Riemannian Maps

Abstract

In this work, we define a v-quasi-bi-slant Riemannian map (in brief, v-QBSR map) from almost Hermitian manifolds to Riemannian manifolds. This notion generalizes both a v-hemi slant Riemannian map and a v-semi slant Riemannian map. The geometry of leaves of distributions that are associated with the definition of such maps is studied. The conditions for v-QBSR maps to be integrable and totally geodesic are also obtained in the paper. Finally, we provide the examples of v-QBSR maps.

On h-Quasi-Hemi-Slant Riemannian Maps

“…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.…”