On Non-invariant Hypersurfaces of a Nearly Sasakian Manifold

Abstract

The object of the present paper is to study non-invariant hypersurfaces of nearly Sasakian manifolds equipped with ( f , g,u,v,l ) - structure. Some properties obeyed by this structure are obtained. The second fundamental form of a non-invariant hypersurface of a nearly Sasakian manifold with ( f , g,u,v,l ) - structure has been traced under the condition when f is parallel. The necessary and sufficient conditions also have been obtained for totally umbilical non-invariant hypersurfaces with ( f , g,u,v,l ) - structure of nearly Sasakian manifold to be totally geodesic.