Journal of the
Korean Mathematical Society JKMS

In this paper, we study both slant and semi-slant submanifolds of an almost product Riemannian manifold. We give characterization theorems for slant and semi-slant submanifolds and investigate special class of slant submanifolds which are product version of Kaehlerian slant submanifold. We also obtain integrability conditions for the distributions which are involved in the definition of a semi-slant submanifold. Finally, we prove a theorem on the geometry of leaves of distributions under a condition.

Keywords: almost product Riemannian manifold, slant submanifold, semi-slant submanifold

MSC numbers: 53C15, 53C40