M-Projective Curvature Tensor of a Semi-symmetric Metric Connection in a Kenmotsu Manifold
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Keywords:
Kenmotsu manifold, M-projective curvature tensor, η-Einstein manifold, Semi-symmetric metric connectionAbstract
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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