Pointwise hemi-slant Riemannian maps into almost Hermitian manifolds and Casorati inequalities
Keywords:
Kaehler manifold, Riemannian map, pointwise hemi-slant submanifold, hemi-slant function, pointwise hemi-slant Riemannian mapAbstract
In the present paper, we introduce a new class of Riemannian maps which are called {\sl pointwise hemi-slant Riemannian maps} from Riemannian manifolds to almost Hermitian manifolds as a natural generalization of hemi-slant submanifolds, hemi-slant submersions and hemi-slant Riemannian maps in a very natural way. We mention some examples, present a characterization and obtain the geometry of foliations in terms of the distributions which are involved in the definition of such maps. We also find necessary and sufficient conditions for pointwise hemi-slant Riemannian maps to be totally geodesic. Finally, we obtain Casorati curvatures for pointwise hemi-slant Riemannian maps in complex space form.
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