Conformal Slant Riemannian Maps with Totally Umbilical Fibers

We study conformal slant Riemannian maps and umbilical conformal slant Riemannian maps from nearly Kaehler manifolds to Riemannian manifolds and derive necessary and sufficient conditions for such maps to be harmonic. Later, we study conformal slant Rie-mannian maps with totally umbilical fibers. Finally, we present somenon-trivial examples of conformal slant Riemannian maps from non-Kaehlerian nearly Kaehler manifoldS6to Riemannian manifolds.

Automated summary

This paper studies conformal slant Riemannian maps and umbilical conformal slant Riemannian maps from nearly Kaehler manifolds to Riemannian manifolds, and derives necessary and sufficient conditions for such maps to be harmonic. Later, it studies conformal slant Riemannian maps with totally umbilical fibers. Finally, it presents some non-trivial examples of conformal slant Riemannian maps from non-Kaehlerian nearly Kaehler manifold S6 to Riemannian manifolds.