Mixed Generalized Quasi-Einstein Warped Product Manifolds.

In this paper, warped product mixed generalized quasi-Einstein manifolds MG(QE) n are studied. It is shown that a Ricci recurrent MG(QE) n manifold is a product manifold whose factors are Ricci recurrent. Sufficient conditions for a MG(QE) n to be a G(QE) n are derived. Then, we classify three types of warped product MG(QE) n . For example, it is proved that the fiber manifold is Einstein in the first type, (QE) n in the second type and MG(QE) n in the third type. [ABSTRACT FROM AUTHOR]