The Geometry of Contact Pseudo-Slant Submanifolds of a Sasakian Manifold

Abstract

In this paper, we study the geometry of the contact pseudo-slant submanifolds
of a Sasakian manifold. We verify some properties of the components of the tensor
field acting on that kind of submanifold and find out the necessary and sufficient conditions for them to be parallel. Also, necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, contact pseudo-slant product, D^{theta}, D^{perp} and mixed-geodesic in Sasakian manifold.