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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   +2 more
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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   +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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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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Notes on η-Einstein solitons on para-Kenmotsu manifolds

Mathematical Methods in the Applied Sciences, 2023
Halil İbrahim Yoldaş
exaly  

Study of W4-Curvature Tensor in Para-Kenmotsu Manifolds

International Journal of Mathematics Trends and Technology, 2022
Stephen K. Moindi, Bernard M. Nzimbi
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ON CERTAIN CLASSES OF CONFORMALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS

In this present paper, we classify and explore the geometrical significance of a class of Lorentzian almost paracontact metric manifolds namely Lorentzian para-Kenmotsu (briefly LP-Kenmotsu) manifolds whenever the manifolds are either conformally flat or conformally symmetric.
K.L. Sai Prasad   +2 more
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