Warped Product Semi-Invariant Submanifolds in Almost Paracontact Metric Manifolds


Mehmet Atçeken




In this paper we have investigated the existence of warped product semi-invariant submanifolds in almost para contact metric manifolds. Finally, we see that there exists no any warped product semiinvariant submanifold in almost para contact metric manifolds such that the contravariant vector field tangent to submanifold.