On a class of N(k)-mixed generalized quasi-Einstein manifolds

Arindam Bhattacharyya; Sampa Pahan

doi:10.12697/ACUTM.2018.22.14

Arindam Bhattacharyya Department of Mathematics, Jadavpur University, Kolkata-700032, India
Sampa Pahan Department of Mathematics, Jadavpur University, Kolkata-700032, India

DOI: https://doi.org/10.12697/ACUTM.2018.22.14

Keywords: Einstein manifold, quasi-Einstein manifold, mixed generalized quasi-Einstein manifold, N(k)-quasi-Einstein manifold

Abstract

The objective of the present paper is to study N(k)-mixed generalized quasi-Einstein manifolds. We prove the existence of these manifolds. Later we establish some curvature properties of N(k)-mixed generalized quasi-Einstein manifolds under certain conditions. In the last section, we give two examples of N(k)-mixed generalized quasi-Einstein manifolds.

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