On Submanifolds of N(k)-Quasi Einstein Manifolds with a Type of Semi-Symmetric Metric Connection

In this study, we consider the N(k)−quasi Einstein manifolds with respect to a type of semi-symmetric metric connection. We suppose that the generator of N(k)−quasi-Einstein manifolds is parallel with respect to semi-symmetric metric connection and we classify such manifolds. In addition, we consider the submanifolds of a N(k)−quasi Einstein manifold and we obtain some conditions on the totally geodesic and the totally umbilic submanifolds. Finally, we consider a para-Kenmotsu space form as an example of N(k)−quasi-Einstein manifolds.