On N(k)-mixed-super quasi-Einstein manifolds satisfying some conditions

Dey, Santu and Bhattacharyya, Arindam (2017) On N(k)-mixed-super quasi-Einstein manifolds satisfying some conditions. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 33 (2). pp. 291-304. ISSN 0866-0174

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Abstract

In this paper N(k)-mixed super quasi Einstein manifold N(k)− MS(QE)n has been introduced and the existence of such manifold is proved. Here, we have studied the nature of Ricci curvature, Ricci symmetric, Ricci recurrent, Generalized Ricci recurrent N(k) − MS(QE)n. Next we study when the curvature conditions C˜(U, X).S = 0 and P˜(U, X).S = 0 hold in N(k)−MS(QE)n where C˜ and P˜ are the concircular curvature tensor and Weyl projective curvature tensor. We also study the Ricci-pseudosymmetric N(k) − MS(QE)n. Finally, we give an example of N(k) − MS(QE)n.

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