Quasi-hemi Slant submanifolds of para Hermitian manifolds

Abstract

The aim of the present paper is to study quasi hemi slant submanifolds in a para Hermitian manifold. We study properties and condition of integrability of the distributions in the quasi hemi slant submanifold.

In addition, we find the necessary and sufficient condition for a quasi-hemi slant submanifold of a para Kaehler manifold to be totally geodesic and study the geometry of foliations determined by distributions. Furthermore, we present some examples of quasi-hemi slant submanifolds of para Hermitian manifolds.