Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2007; 22(3): 411-417

Printed September 1, 2007

Copyright © The Korean Mathematical Society.

On $N(k)$-quasi Einstein manifolds

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