Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 31, No. 1, pp. 61-69 (2015)

Generalized quasi-Einstein manifolds admitting special vector fields

Bahar Kirik and Füsun Özen Zengin

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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