On \(W_2\)- Curvature Tensor Nk-quasi Einstein Manifolds

Volume 1, Issue 1, pp 28--32 http://dx.doi.org/10.22436/jmcs.001.01.04

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Authors

A. Taleshian - Department of Mathematics, Faculty of Sciences, Mazandaran University.P.O.Box 47416-1467,Babolsar, Iran A. A. Hosseinzadeh

Abstract

We consider N(k)-quasi Einstein manifolds satisfying the conditions \(R(\xi,X). W_2 = 0, W_2 (\xi,X).S = 0, P(\xi,X). W_2 = 0\), where \(W_2\) and \(P\) denote the \(W_2\)-curvature tensor and projective curvature tensor, respectively.

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ISRP Style

A. Taleshian, A. A. Hosseinzadeh, On \(W_2\)- Curvature Tensor Nk-quasi Einstein Manifolds, Journal of Mathematics and Computer Science, 1 (2010), no. 1, 28--32

AMA Style

Taleshian A., Hosseinzadeh A. A., On \(W_2\)- Curvature Tensor Nk-quasi Einstein Manifolds. J Math Comput SCI-JM. (2010); 1(1):28--32

Chicago/Turabian Style

Taleshian, A., Hosseinzadeh, A. A.. "On \(W_2\)- Curvature Tensor Nk-quasi Einstein Manifolds." Journal of Mathematics and Computer Science, 1, no. 1 (2010): 28--32

Keywords

k-nullity distribution
quasi Einstein manifold
N(k)-quasi Einstein manifold
\(W_2\)-curvature tensor
projective curvature tensor.

MSC

53A20
53C25
53C15

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