A CLASSIFICATION OF SOME ALMOST α-PARA-KENMOTSU MANIFOLDS
نویسندگان
چکیده
In this paper, we mainly study local structures and curvatures of the almost α-para-Kenmotsu manifolds. particular, locally symmetric manifolds satisfying certain nullity conditions are classified.
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: Facta Universitatis
سال: 2021
ISSN: ['1820-6425', '1820-6417']
DOI: https://doi.org/10.22190/fumi2005327p