Pointwise Bi-Slant Submersions

Abstract

In the present paper we study pointwise bi-slant submersions from almost Hermitian manifolds ontoRiemannian manifolds as a generalization of anti-invariant, semi-invariant, slant, bi-slant, pointwise semislant, pointwise slant, pointwise hemi-slant submersions. We mainly focus on pointwise bi-slantsubmersions from Kaehler manifolds onto Riemannian manifolds. We give some characterizations forsuch maps. We obtain necessary and sufficient conditions for the totally geodesicness of the distributions𝐷1 and 𝐷2 mentioned in the definition of the pointwise bi-slant submersions. Also we investigate thegeometry of vertical and horizontal distributions. Then we give necessary and sufficient conditions forpointwise bi-slant submersions to be totally geodesic.