A note on hemi-slant submanifolds of para Sasakian manifolds

Abstract

In this paper, we study hemi-slant submanifolds as a generalization of slant submanifolds of para contact manifolds. We particularly work out on hemi-slant submanifolds of para Sasakian manifold. Further, we obtain necessary and sufficient conditions for integrability of distributions which are involved in the definition of hemi-slant submanifolds of para Sasakian manifolds. Finally, we obtain the necessary and sufficient condition for a hemi-slant submanifold to be hemi-slant product and also provide some examples of such submanifolds.