Keywords:-

Keywords: Curvature tensor, Ricci solitons, semi-symmetric metric connection.

Article Content:-

Abstract

In this paper we introduce notion of Ricci solitons in -para Kenmotsu manifold with semi -symmetric metric connection. We have found the relations between curvature tensor, Ricci tensors and scalar curvature of -para Kenmotsu manifold with semi-symmetic metric connection.We have proved that 3-dimensional -para Kenmotsu manifold with semi -symmetric metric connection is an -Einstein manifold and the Ricci soliton defined on this manifold is named expanding and steady with respect to the value of  constant.It is proved that Conharmonically flat -para Kenmotsu manifold with semi-symmetric metric connection is -Einstein manifold.

References:-

References

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Shukla, N., & Anand, K. (2023). Ricci Solitons on α-Para Kenmotsu Manifolds with Semi Symmetric Metric Connection. International Journal Of Mathematics And Computer Research, 11(8), 3668-3673. https://doi.org/10.47191/ijmcr/v11i8.06