Şahin B.2019-10-262019-10-2620171223-70271223-7027https://hdl.handle.net/11454/16332In this paper, we first find necessary and sufficient conditions for the total space of a Riemannian map to be an Einstein manifold and then we obtain various inequalities in terms of the scalar curvatures of the base space, fibers and images. In the equality cases of those inequalities, we obtain harmonicity and totally geodesicity of such maps.eninfo:eu-repo/semantics/closedAccessEinstein manifoldGeneralized divergence theoremHarmonic mapRiemannian mapTotally geodesic mapArticle793131138Q3