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Öğe Two theorems on invariant submanifolds of product Riemannian manifold(Indian Nat Sci Acad, 2003) Atçeken, M; Keles, SIn 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.
