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

Download PDF

Download XML

2757 Downloads
4617 Views

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.

Share and Cite

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

References

[1] M. C. Chaki, R. K. Maity, On quasi Einstein manifolds, Publ. Math. Debrecen, 57 (2000), 297--306

[2] M. C. Chaki, P. K. Ghoshal, Some global properties of quasi Einstein manifolds, Publ. Math. Debrecen, 63 (2003), 635--641

[3] U. C. De, G. C. Ghosh, On quasi Einstein manifolds, Period. Math. Hungar., 48 (2004), 223--231

[4] U. C. De, G. C. Ghosh, On quasi Einstein manifolds. II, Bull. Calcutta Math. Soc., 96 (2004), 135--138
- MathSciNet
- Google Scholar

[5] U. C. De, G. C. Ghosh, On conformally flat special quasi Einstein manifolds, Publ. Math. Debrecen, 66 (2005), 129--136

[6] U. C. De, J. Sengupta, D. Saha, Conformally flat quasi-Einstein spaces, Kyungpook Math. J., 46 (2006), 417--423

[7] C. Özgür, N(k)-quasi Einstein manifolds satisfying certain conditions, Chaos Solitons Fractals, 38 (2008), 1373--1377

[8] C. Özgür, Sibel Sular, On N(k)-quasi Einstein manifolds satisfying certain conditions, Balkan J. Geom. Appl., 13 (2008), 74--79
- View Article
- MathSciNet

[9] C. Özgür, M. M. Tripathi, On the concircular curvature tensor of an N(k)-quasi Einstein manifold, Math. Pannon., 18 (2007), 95--100

[10] G. P. Pokhariyal, R. S. Mishra, Curvature tensors' and their relativistics significance, Yokohoma Math. J., 18 (1970), 105--108

[11] S. Tanno, Ricci curvatures of contact Riemannian manifolds, Tohoku Math. J., 40 (1988), 441--448

[12] M. M. Tripathi, J. S. Kim, On N(k)-quasi Einstein manifolds, Commun. Korean Math. Soc., 22 (2007), 411--417

[13] K. Yano, M. Kon, Structures on manifolds, World Scientic Publishing Co., Singapore (1984)