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Study of W3 curvature tensor on Lorentzian Para Kenmotsu manifolds

International Journal of Statistics and Applied Mathematics
FN Mburu, PW Njori, CN Gitonga
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Study on Semi-symmetric Para Kenmotsu Manifolds

2021
We investigate several interesting characteristics of para Kenmotsu (briefly p-Kenmotsu) manifolds satisfying the conditions R(X,Y) . R = 0, R(X,Y) . P = 0  and P(X,Y) . R = 0, where R(X,Y) is the Riemannian curvature tensor and P(X,Y) is the Weyl projective curvature tensor of the manifold. It is demonstrated that a semi symmetric p-Kenmotsu manifold (
Talam Satyanarayana
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A note on gradient solitons on para-Kenmotsu manifolds

International Journal of Geometric Methods in Modern Physics, 2020
The 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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ON PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION

jnanabha
The goal of this paper is to study a PK-manifold (briefly, PK-manifold) that admits a Zamkovoy connection. We use a new (0, 2) type symmetric tensor Z to derive a new tensor field from the Mprojective curvature tensor (briefly, MP-curvature tensor).
Jain, Swati, Pandey, M. K., Goyal, A.
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Conformal semi-slant submersions from Lorentzian para Kenmotsu manifolds

Tbilisi Mathematical Journal, 2021
The paper deals with the notion of conformal semi-slant submersions from Lorentzian para Kenmotsu manifolds onto Riemannian manifolds. In this paper, we study the integrability of the distributions and the geometry of leaves manifolds.
Prasad, Rajendra, Singh, Punit Kumar, Kumar, Sushil   +2 more
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Notes on η‐Einstein solitons on para‐Kenmotsu manifolds

Mathematical Methods in the Applied Sciences, 2023
The 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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CERTAIN CURVATURE CONDITIONS ON LORENTZIAN PARA-KENMOTSU MANIFOLDS

2022
We classify Lorentzian para-Kenmotsu manifolds which satisfy the curvature conditions W2.C = 0, Z.C = LCQ(g, C), W2.Z − Z.W2 = 0 and W2.Z + Z.W2 = 0, where W2 is the Weyl-projective tensor, Z is the concircular tensor, and C is the Weyl conformal curvature tensor.
S. Sunitha Devi, K.L. Sai Prasad, T. Satyanarayana   +2 more
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Invariant and holomorphic distributions on para-Kenmotsu manifolds

ANNALI DELL'UNIVERSITA' DI FERRARA, 2014
The 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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Eta-Ricci solitons on Lorentzian para-Kenmotsu manifolds

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
This 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

2017
The 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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