INVESTIGATION OF QUASI BI-SLANT RIEMANNIAN MAPS

Riemannian maps are generalization of well-known notions of isometric immersions and Riemannian submersions. In this paper, we define and study a natural generalization of previously defined quasi bi-slant submersions [18] in the case of Riemannian maps. We mainly investigate fundamental results on quasi bi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds: the integrability of distributions, geometry of foliations, the condition for such maps to be totally geodesic, etc. At the end of the article, we give proper non-trivial examples for this notion.