On the existence of generalized quasi-Einstein manifolds

Uday Chand De and Sahanous Mallick

Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, West Bengal, India
Paninala Satyapriya Roy Smriti Sikshaniketan(H.S), P.O.- Bhandarkhola, Nadia, West Bengal, India

E-mail: uc_de@yahoo.com

Abstract: The object of the present paper is to study a type of Riemannian manifold called generalized quasi-Einstein manifold. The existence of a generalized quasi-Einstein manifold have been proved by non-trivial examples.

AMSclassification: primary 53C25.

Keywords: quasi-Einstein manifolds, generalized quasi-Einstein manifold, manifold of generalized quasi-constant curvature, manifold of quasi-constant curvature.