Meriç, Semsi EkenGülbahar, MehmetKılıç, Erol2024-12-242024-12-2420171221-8421https://hdl.handle.net/20.500.12604/3887In this paper, we start by studying the scalar curvature of two Riemannian manifolds admitting a Riemannian submersion. We establish a series of inequalities for Riemannian submersions. By using these inequalities, we derive several characterizations for Riemannian submersions. We show that the necessary conditions for a Riemannian submersion to be harmonic is to either have totally geodesic fibres or integrable horizontal distribution. © 2018, Universitatii Al.I.Cuza din Iasi. All rights reserved.eninfo:eu-repo/semantics/closedAccessCurvatureHarmonic mapRiemannian submersionArticle63F3Q42-s2.0-85051358083