ETA-RICCI SOLITONS ON KENMOTSU MANIFOLD WITH GENERALIZED SYMMETRIC METRIC CONNECTION
The objective of the present paper is to study the $\eta$-Ricci solitons on Kenmotsu manifold with generalized symmetric metric connection of type $(\alpha,\beta)$. There are discussed Ricci and $\eta$-Ricci solitons with generalized symmetric metric connection of type $(\alpha,\beta)$ satisfying the conditions $\bar{R}.\bar{S}=0$, $\bar{S}.\bar{R}=0$, $\bar{W_{2}}.\bar{S}=0$ and $\bar{S}.\bar{W_{2}}=0.$. Finally, we construct an example of Kenmotsu manifold with generalized symmetric metric connection of type $(\alpha,\beta)$ admitting $\eta$-Ricci solitons.
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2021 ◽
Vol 45
(5)
◽
pp. 815-827
◽
2019 ◽
Vol 25
(3)
◽
pp. 194-202
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