On Pseudo-Slant Submanifolds of a Sasakian Space Form

Abstract

In this paper, we study the geometry of the pseudo-slant submanifolds of a Sasakian space
form. Necessary and sufficient conditions are given for a submanifold to be pseudo-slant submanifolds,
pseudo-slant product, mixed geodesic and totally geodesic in Sasakian manifolds. Finally, we give some
results for totally umbilical pseudo-slant submanifolds of Sasakian manifold and Sasakian space forms.