Generalized quasi-Einstein warped products manifolds with respect to affine connections

Abstract

In this paper, we study warped product on generalized quasi-Einstein manifolds with respect to affine connections. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein warped products manifolds with respect to affine connections. Furthermore, it is proved that generalized quasi-Einstein manifold to be a quasi-Einstein manifold with respect to affine connections
and we give three and four examples (both Riemannian and Lorentzian) of generalized quasi-Einstein manifolds to show the existence of such manifold. Finally, we construct two examples of warped product on generalized quasi-Einstein manifolds with respect to affine connections are also discussed.