On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection

Abstract

In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric connection for dimension n ≥ 3 and Ricci-symmetric generalized quasi-Einstein manifold with quarter symmetric connection. We also investigate that in what conditions the generalized quasi-Einstein manifold to be nearly Einstein manifold with respect to quarter symmetric connection. Example of warped product on generalized quasi-Einstein manifold with respect to quarter symmetric connection are also discussed.

Keywords

• einstein manifold
• quasi-einstein manifold
• nearly quasi-einstein manifold
• generalized quasi-einstein manifold
• warped product manifold
• 53c25
• 53b30
• 53c15