LP-Kenmotsu Manifolds Admitting η-Ricci Solitons and Spacetime
نویسندگان
چکیده
In the present paper, LP -Kenmotsu manifolds admitting id="M2"> η -Ricci solitons have been studied. Moreover, some results for id="M3"> in LP-Kenmotsu spacetime of general relativity also proved. Through a nontrivial example, we given proof existence η-Ricci 5-dimensional manifold.
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: Journal of Mathematics
سال: 2022
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2022/6605127