2021, Vol. 6, Issue 2, Part A
A study on W6-curvature tensors and W8-curvature tensors in Kenmotsu manifolds admitting semi-symmetric metric connection
Author(s): PW Njori, SK Moindi and GP Pokhariyal
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.
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How to cite this article:
PW Njori, SK Moindi, GP Pokhariyal. A study on W6-curvature tensors and W8-curvature tensors in Kenmotsu manifolds admitting semi-symmetric metric connection. Int J Stat Appl Math 2021;6(2):01-05.