A Note on Nearly Quasi-Einstein Manifolds

Shyamal Kumar Hui

Abstract

The object of the present paper is to study nearly quasi-Einstein manifold. Also we have studied decomposable Riemannian manifold and it is shown that a decomposable Riemannian manifold is nearly quasi-Einstein if and only if both the decompositions are Einstein.

Keywords

quasi-Einstein manifold, nearly quasi-Einstein manifold, Ricci-pseudosymmetric, scalar curvature, decomposable Riemannian manifold, Killing vector field, projective Killing vector field

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