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In this paper, we study the pseudo-slant submanifolds of a nearly Sasakian manifold. We characteterize a totally umbilical properpseudo-slant submanifolds and find that a necessary and sufficient condition for such sub-manifolds totally geodesic. Also the integrability conditions of distributions of pseudo-slant submanifolds of a nearly Sasakian manifold are investigated. [ABSTRACT FROM AUTHOR]

In this paper, the geometry of CR-submanifolds of a Kaehler product manifold is studied. Fundamental of these submanifolds are investigated such as CR-product, pseudo-umbilical and curvature-invariant. Finally, we show that there exists no totally umbilical CR-submanifold in a Kaehler product manifold M = M1(c1) ×M2(c2). [ABSTRACT FROM AUTHOR]

In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributions D, D\bot and mixed-geodesic property are studied. Finally, necessary and sufficient conditions are given on a semi-invariant submanifold of Riemannian product manifold to be D-geodesic and D\bot-geodesic. [ABSTRACT FROM AUTHOR]