On non-invariant hypersurfaces of a nearly hyperbolic Sasakian manifold.

We consider a nearly hyperbolic Sasakian manifold equipped with -structure and study non-invariant hypersurface of a nearly hyperbolic Sasakian manifold equipped with -structure. We obtain some properties of nearly hyperbolic Sasakian manifold equipped with -structure. Further, we find the necessary and sufficient conditions for totally umbilical non-invariant hypersurface with -structure of nearly hyperbolic Sasakian manifold to be totally geodesic. We also calculate the second fundamental form of a non-invariant hypersurface of a nearly hyperbolic Sasakian manifold with -structure under the condition when f is parallel. [ABSTRACT FROM AUTHOR]