The Interesting Characterizations of Some Solitons in Lorentzian Para-Kenmotsu Manifolds
Abstract
In this article, we have investigated some special solitons in Lorentz para-Kenmotsu manifolds. We have studied in detail some important solitons such as almost $\eta$-Ricci soliton, conformal Ricci soliton and $\eta$-Ricci Bourguignon solitons in Lorentz para-Kenmotsu manifolds. While examining particularly some important symmetry conditions of Lorentz para-Kenmotsu manifolds, we have obtained characterizations based on both certain special solitons and the generalized $\ \mathcal{B}$-curvature tensor, which is the generalization of quasi-conformal, Weyl-conformal, concircular and conharmonic curvature tensors.
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