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On Some Classes of N(k)-Quasi Einstein Manifolds
AHMET YILDIZ, UDAY CHAND DE, AZIME CETINKAYA
Published in NATL ACAD SCIENCES INDIA
2013
Volume: 83

Issue: 3
Pages: 239 - 245
Abstract
The object of the present paper is to study N(k)-quasi Einstein manifolds. We study an N(k)-quasi Einstein manifold satisfying the conditions S.R - 0; R.C - f (Q) over cap (g, C). Next we prove that the curvature condition C.S - 0 holds in an N(k)-quasi Einstein manifold. Then we study an N(k)-quasi Einstein manifold satisfying the condition R.R - f (Q) over cap (S, R). Finally, we construct some examples of N(k)-quasi Einstein manifolds.