Ricci solitons

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LF Uwimbabazi Ruganzu, Moindi SK, Pokhariyal GP, Katende J. "η-ricci solitons defined with W8− curvature tensor and cyclic ricci tensor on para-kenmotsu manifolds." International Journal of Statistics and Applied Mathematics. 2019;4(5):80-84. AbstractWebsite

In this Paper η- Ricci solitons are considered on Para- Kenmotsu manifolds satisfying (ξ,.)S.W8 = 0 and
(ξ,.)W8.S = 0. The results of Blaga [1] for W2 have motivated us to use the same conditions on W8. We have
proved that the Para- Kenmotsu manifolds satisfying (ξ,.)W8.S = 0. Are quasi- Einstein Manifolds and
those satisfying (ξ,.)S.W8 = 0, are Einstein Manifolds. At the end of the paper it has been proven that the
para- Kenmotsu manifolds with cyclic Ricci tensor and η− Ricci soliton structure are quasi-Einstein

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