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In this paper, we research the existence or non-existence of warped product semi-slant submanifolds in Kenmotsu manifolds. Consequently, we see that there are no proper warped product semi-slant submanifolds in Kenmotsu manifolds such that totally geodesic and totally umbilical submanifolds of warped product are proper semi-slant and invariant (or anti-invariant), respectively. [ABSTRACT FROM AUTHOR]

In this article, we give a necessary and sufficient condition for warped product semi-invariant submanifolds to be Riemannian product semi-invariant submanifolds in a locally Riemannian product manifold whose factor manifolds are real space form. [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, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied. The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvature invariant, totally geodesic, mixed geodesic submanifold and locally decomposable Riemannian product manifold. [ABSTRACT FROM AUTHOR]