M-Projective Curvature Tensor of a Semi-symmetric Metric Connection in a Kenmotsu Manifold


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Authors

  • Ravendra Kumar Department of Mathematics, Dr Ram Manohar Lohiya Government Degree College, Aonla, Bareilly, U.P., India

Keywords:

Kenmotsu manifold, M-projective curvature tensor, η-Einstein manifold, Semi-symmetric metric connection

Abstract

In the present paper we consider a semi-symmetric metric connection in a Kenmotsu manifold. We deduce the relation between the Riemannian connection and the semi-symmetric metric connection on a Kenmotsu manifold.We investigate the curvature tensor and the Ricci tensor of a Kenmotsu manifold with respect to the semi-symmetric metric connection. We study M-projective curvature tensor with respect to the semi- symmetric metric connection satisfying certain curvature conditions.

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Published

30-01-2016

How to Cite

Ravendra Kumar. (2016). M-Projective Curvature Tensor of a Semi-symmetric Metric Connection in a Kenmotsu Manifold. International Journal of Mathematics And Its Applications, 4(1 - A), 81–91. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/548

Issue

Vol. 4 No. 1 - A (2016)

Section

Research Article

License

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