Commun. Korean Math. Soc. 2009; 24(3): 415-424
Printed September 1, 2009
https://doi.org/10.4134/CKMS.2009.24.3.415
Copyright © The Korean Mathematical Society.
Absos Ali Shaikh and Shyamal Kumar Hui
University of Burdwan
The object of the present paper is to study the generalized quasi-Einstein manifolds satisfying some conditions. Finally the existence of such manifolds is ensured by several interesting examples.
Keywords: generalized quasi-Einstein manifold, Ricci-pseudosymmetric manifold, Ricci-semisymmetric manifold, conformal curvature tensor, concircular curvature tensor, quasi-conformal curvature tensor, projective curvature tensor, conformally flat
MSC numbers: 53B30, 53B50, 53C50, 53C80, 83D05
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