Almost η-Ricci Solitons on the Pseudosymmetric Lorentzian Para-Kenmotsu Manifolds
نویسندگان
چکیده
In this paper, we consider Lorentzian para-Kenmotsu manifold admitting almost $\eta-$Ricci solitons by virtue of some curvature tensors. Ricci pseudosymmetry concepts manifolds soliton have introduced according to the choice tensors such as Riemann, concircular, projective, $\mathcal{M-}$projective, $W_{1}$ and $W_{2}.$ After then, tensors, necessary conditions are given for be semisymmetric. Then characterizations classifications made under conditions.
منابع مشابه
Eta-Ricci solitons on para-Kenmotsu manifolds
In the context of paracontact geometry, η-Ricci solitons are considered on manifolds satisfying certain curvature conditions: R(ξ,X) · S = 0, S · R(ξ,X) = 0, W2(ξ,X) · S = 0 and S · W2(ξ,X) = 0. We prove that on a para-Kenmotsu manifold (M,φ, ξ, η, g), the existence of an η-Ricci soliton implies that (M, g) is quasi-Einstein and if the Ricci curvature satisfies R(ξ,X) · S = 0, then (M, g) is Ei...
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ژورنال
عنوان ژورنال: Earthline Journal of Mathematical Sciences
سال: 2023
ISSN: ['2581-8147']
DOI: https://doi.org/10.34198/ejms.12223.183206