Meric, Semsi EkenKilic, ErolSagiroglu, Yasemin2024-08-042024-08-0420170219-88781793-6977https://doi.org/10.1142/S0219887817501717https://hdl.handle.net/11616/97951In this paper, we consider a Lagrangian Riemannian submersion from a Hermitian manifold to a Riemannian manifold and establish some basic inequalities to obtain relationships between the intrinsic and extrinsic invariants for such a submersion. Indeed, using these inequalities, we provide necessary and sufficient conditions for which a Lagrangian Riemannian submersion pi has totally geodesic or totally umbilical fibers. Moreover, we study the harmonicity of Lagrangian Riemannian submersions and obtain a characterization for such submersions to be harmonic.eninfo:eu-repo/semantics/closedAccessCurvatureHermitian manifoldRiemannian submersionArticle141210.1142/S02198878175017172-s2.0-85028528574Q3WOS:000416177800003Q3