Revista de la
Unión Matemática Argentina
Eta-Ricci solitons on LP-Sasakian manifolds
Pradip Majhi and Debabrata Kar
Volume 60, no. 2 (2019), pp. 391–405    

https://doi.org/10.33044/revuma.v60n2a07

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Abstract

We consider $\eta$-Ricci solitons on Lorentzian para-Sasakian manifolds with Codazzi type of the Ricci tensor. Then we study $\eta$-Ricci solitons on $\varphi$-conformally semi-symmetric, $\varphi$-Ricci symmetric, and conformally Ricci semi-symmetric Lorentzian para-Sasakian manifolds. Finally, we construct an example of a three dimensional Lorentzian para-Sasakian manifold which admits $\eta$-Ricci solitons with non-constant scalar curvature.