Curvature Properties of η-Ricci Solitons on Para-Kenmotsu Manifolds
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In the present paper, we study curvature properties of η-Ricci solitons on para-Kenmotsu manifolds. We obtain some results of -Ricci solitons on para-Kenmotsu manifolds satisfying R( ζ;X):C = 0, R( ζ;X):fM = 0, R(ζ ;X):P = 0, R( ζ;X): e C = 0 and R( ζ;X):H = 0, where C, fM, P, e C 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.
Abstract
In the present paper, we study curvature properties of η-Ricci solitons on para-Kenmotsu manifolds. We obtain some results of -Ricci solitons on para-Kenmotsu manifolds satisfying R( ζ;X):C = 0, R( ζ;X):fM = 0, R(ζ ;X):P = 0, R( ζ;X): e C = 0 and R( ζ;X):H = 0, where C, fM, P, e C 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.
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