ON N(k)−QUASI EINSTEIN MANIFOLD

نویسندگان

  • R. N. Singh
  • M. K. Pandey
  • D. Gautam
چکیده

In the present paper we have studied an N(k)-quasi Einstein manifold satisfying R(ξ, X).P̃ , where P̃ is the pseudo-projective curvature tensor. Among others, it is shown that if quasi-Einstein manifold with constant associated scalars is Ricci symmetric then the generator of the manifold is a Killing vector field. AMS Mathematics Subject Classification (2000): 53C25

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تاریخ انتشار 2010