Atceken, MKeles, S2024-08-042024-08-0420040252-96021572-9087https://hdl.handle.net/11616/103795In this paper, the vertical and horizontal distributions of an invariant sub-manifold of a Riemannian product manifold are discussed. An invariant real space form in a Riemannian product manifold is researched. Finally, necessary and sufficient conditions are given on an invariant sub-manifold of a Riemannian product manifold to be a locally symmetric and real space form.eninfo:eu-repo/semantics/closedAccessRiemannian product manifoldmixed geodesic submanifoldreal space form and almost Riemannian product structureArticle244549558WOS:000225111100005Q4