Atçeken, MKeles, S2024-08-042024-08-0420030019-55880975-7465https://hdl.handle.net/11616/94774In this paper we discuss the distributions of a Riemannian almost-product structure in product Riemannian manifold. We show that an invariant submanifold of a product Riemannian manifold has a Riemannian almost-product structure, and investigate properties of integral manifold of distributions of Riemannian almost-product structure, i.e., pseudo-umbilical submanifold and curvature-invariant submanifold.eninfo:eu-repo/semantics/closedAccessproduct Riemannian manifoldcurvature-invariant submanifoldpseudo-umbilical submanifoldvertical and horizontal distributionsTwo theorems on invariant submanifolds of product Riemannian manifoldArticle347103510442-s2.0-6344231873Q3WOS:000185360800004Q4