On $N(k)$-quasi Einstein manifolds

On $N(k)$-quasi Einstein manifolds

Commun. Korean Math. Soc. 2007 Vol. 22, No. 3, 411-417
Printed September 1, 2007

Mukut Mani Tripathi, Jeong-Sik Kim
Lucknow University, Yosu National University

Abstract : $N(k)$-quasi Einstein manifolds are introduced and studied.

Keywords : conformal curvature tensor, $k$-nullity distribution, $N(k)$-quasi Einstein manifold, quasi Einstein manifold, quasi-umbilical hypersurface, Ricci operator, Ricci-recurrent manifold, Ricci tensor, semi-symmetric space

MSC numbers : 53C25

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