Curvature Properties of 𝜂-Ricci Solitons on Para-Kenmotsu Manifolds

Abstract

In the present paper, we study curvature properties of η-Ricci solitons on para-Kenmotsu manifolds. We obtain some results of η-Ricci solitons on para-Kenmotsu manifolds satisfying R(ξ,X).C = 0, R(ξ,X).M̃ = 0, R(ξ,X).P = 0, R(ξ,X).C̃ = 0 and R(ξ,X).H = 0, where C, M̃ , P , C̃ and H are a quasi-conformal curvature tensor, a M -projective curvature tensor, a pseudo-projective curvature tensor, and a concircular curvature tensor and conharmonic curvature tensor, respectively.