a note on quasi-hemi slant submanifolds of nearly trans-sasakian manifolds

Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds. we mainly focus on quasi hemi-slant sub-manifold of nearly trans-sasakian manifold. during this manner, we tend to study and investigate integrability of distributions which are concerned in the definition of quasi hemi-slant submanifold of nearly trans-sasakian manifold. moreover, we tend to get necessary and sufficient conditions for quasi hemi-slant submanifold of nearly trans-sasakian manifold to be totally geodesic for such manifolds.