Abstract
In the present paper, we investigate generalized quasi Einstein manifolds satisfying some special curvature conditions R S = 0, R S = LSQ(1,S), C S = 0, C S = 0, W S = 0 and W2 S = 0 where R,S,C,C, W and W2 respectively denote the Riemannian curvature tensor, Ricci tensor, conformal curvature tensor, concircular curvature tensor, quasi conformal curvature tensor and W2-curvature tensor. Later, we find some suffcient conditions for a generalized quasi Einstein manifold to be a quasi Einstein manifold and we show the existence of a nearly quasi Einstein manifolds, by constructing a non trivial example.
Original language | English |
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Pages (from-to) | 443-456 |
Number of pages | 14 |
Journal | Filomat |
Volume | 29 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2015 |
Bibliographical note
Publisher Copyright:© 2015, University of Nis. All Rights Reserved.
Keywords
- Concircular curvature tensor
- Conformal curvature tensor
- Generalized quasi Einstein manifold
- Quasi conformal curvature tensor
- Ricci semi symmetric manifold
- Ricci-pseudosymmetric manifold
- W2-curvature tensor