Eta-Ricci soliton on W3-Semi symmetric LP Sasakian Manifolfds

Samwel O Pambo, SK Moindi, BM Nzimbi
2020 International Journal of Statistics and Applied Mathematics  
In this paper, we study ƞ-Ricci solitons on Lorentzian para-Sasakian manifold satisfying the semi symmetric conditions 𝑅(𝜉, 𝑋) • 𝑊 3 (𝑌, 𝑍)𝑈 = 0 and 𝑊 3 (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.
doi:10.22271/maths.2020.v5.i5a.584 fatcat:vmpdgeztovdk7g3qfmwdixdrym