A study on W6-curvature tensors and W8-curvature tensors in Kenmotsu manifolds admitting semi-symmetric metric connection

Abstract

This paper deals with the study of W6 -Curvature tensors on Kenmotsu manifolds admitting semi-symmetric metric connection. It has been established that a flat W6 -Curvature tensor in Kenmotsu manifold with respect to semi-symmetric connection does not imply the manifold is flat with respect to the connection. Further study has revealed the geometrical relationship between W6 -curvature tensor and W8 -curvature tensors in Kenmotsu manifold with respect to semi-symmetric metric connection and Levi-Civita connection respectively.