On some classes of mixed-super quasi-Einstein manifolds

Abstract

Quasi-Einstein manifold and generalized quasi-Einstein manifold are the generalizations of Einstein manifold. The purpose of this paper is to study the mixed super quasi-Einstein manifold which is also the generalizations of Einstein manifold satisfying some curvature conditions. We define both Riemannian and Lorentzian doubly warped product on this manifold. Finally, we study the completeness properties of doubly warped products on MS(QE)4 for both the Riemannian and Lorentzian cases.

Keywords

• mixed super quasi-einstein manifold
• ricci-pseudosymmetric manifold
• ricci semisymmetric manifold
• concircular curvature tensor
• quasi-conformal curvature tensor
• warped product
• doubly warped product
• 53c25
• 53b30