International Journal of Statistics and Applied Mathematics
2020, Vol. 5, Issue 5, Part A
Eta-Ricci soliton on W3-Semi symmetric LP Sasakian Manifolfds
Author(s): Samwel O Pambo, SK Moindi and BM Nzimbi
Abstract: In this paper, we study ƞ-Ricci solitons on Lorentzian para-Sasakian manifold satisfying the semi symmetric conditions R(ξ,X)•W3 (Y,Z) U=0 and W3 (ξ,X)•R(Y,Z)U=0. At the end of this paper, we show that the LP-Sasakian manifold accepting a ƞ-Ricci solitons structure is Einstain.