Istanbul Technical University
Abstract: The purpose of this paper is to study the properties of some special vector fields on generalized quasi-Einstein manifolds. We determine the conditions for a generalized quasi-Einstein manifold admitting special vector fields when the Ricci tensor of the manifold satisfies some conditions.
Keywords: Generalized quasi-Einstein manifold, torse-forming vector field, Ricci-vector field, Codazzi tensor.
Classification (MSC2000): 53B20; 53C25
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