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Study on Semi-symmetric Para Kenmotsu Manifolds
2021We 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 (
T Satyanarayana, K L Sai Prasad
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Symmetry, 2022 In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold.
S K Srivastava +2 more
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Slant Submanifolds of a Lorentz Kenmotsu Manifold
Mediterranean Journal of Mathematics, 2019 In this paper, we study slant submanifolds of a Lorentz Kenmotsu manifold. Necessary and sufficient conditions are given on a submanifold of a Lorentz Kenmotsu manifold to be a slant submanifold. We also study slant submanifolds of locally warped product
Ramazan Sári, Aysel Turgut Vanli
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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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ON PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION
jnanabhaThe 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, 2021The 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
2022We 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, 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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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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