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Notes on η‐Einstein solitons on para‐Kenmotsu manifolds
Mathematical Methods in the Applied Sciences, 2023The present paper deals with the investigation of Para‐Kenmotsu manifolds admitting ‐Einstein solitons. Some necessary conditions for such manifolds to be Einstein are given, and it is proven that if a para‐Kenmotsu manifold admits an ‐Einstein soliton, then the manifold is Einstein.
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A note on gradient solitons on para-Kenmotsu manifolds
International Journal of Geometric Methods in Modern Physics, 2020The purpose of the offering exposition is to characterize gradient Yamabe, gradient Einstein and gradient [Formula: see text]-quasi Einstein solitons within the framework of 3-dimensional para-Kenmotsu manifolds. Finally, we consider an example to prove the result obtained in previous section.
Krishnendu De, Uday Chand De
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Eta-Ricci solitons on Lorentzian para-Kenmotsu manifolds
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer ScienceThis work introduces the investigation of ETA(η)-Ricci solitons on a Lorentzian para-Kenmotsu manifold. In this study, we investigate η-Ricci solitons on Lorentzian para-Kenmotsu manifolds satisfying the condition C.D=0. Additionally, we have constructed and thoroughly shown the findings about the harmonic and Weyl harmonic curvature tensor ...
Almia, Priyanka, Upreti, Jaya
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ON 3-DIMENSIONAL $\alpha$-PARA KENMOTSU MANIFOLDS
2017The aim of the present paper is to study 3-dimensional alpha-para Kenmotsu manifolds. First we consider 3-dimensional Ricci semisymmetric $\alpha$-para Kenmotsu manifolds and obtain some equivalent conditions. Next we study cyclic parallel Ricci tensor in 3-dimensional $\alpha$-para Kenmotsu manifolds.
MANDAL, KRISHANU, DE, U.C.
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Invariant and holomorphic distributions on para-Kenmotsu manifolds
ANNALI DELL'UNIVERSITA' DI FERRARA, 2014The author deals with two questions on para-Kenmotsu manifolds [\textit{K. Kenmotsu}, Tohoku Math. J., II. Ser. 24, 93--103 (1972; Zbl 0245.53040)]. One is the characterization of holomorphic vector fields as the kernel of a \(\overline{\partial}\)-operator. The second one is the description of the Walczak formula [\textit{P.G. Walczack}, Colloq. Math.
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Some results on invarinat submanifolds of Lorentzian para-Kenmotsu manifolds
2022Summary: The purpose of this paper is to study invariant submanifolds of a Lorentzian para Kenmotsu manifold. We obtain the necessary and sufficient conditions for an invariant submanifold of a Lorentzian para Kenmotsu manifold to be totally geodesic. Finally, a non-trivial example is built in order to verify our main results.
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ON φ-CONHARMONICALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS
The present paper deals with a class of Lorentzian almost paracontact metric manifolds namely Lorentzian para-Kenmotsu (briefly LP-Kenmotsu) manifolds. We study and have shown that a quasiconformally flat Lorentzian para-Kenmotsu manifold is locally isomorphic with a unit sphere Sn(1).I.V. Venkateswara Rao +2 more
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SOME SOLITONS ON PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CANONICAL PARACONTACT CONNECTION
Journal of Mathematical SciencesA Zamkovoy connection is a kind of linear connection that extends the Levi-Civita connection in the case of paracontact manifolds. Para-Kenmotsu manifolds are a type of almost paracontact manifolds, \(k\)-almost Ricci solitons are a generalization of Ricci solitons.
Jhantu Das +2 more
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