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Notes on Generalized Dual Connections on Para-Kenmotsu Manifolds
Adara M. Blaga
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η- ricci solitons defined with W8− curvature tensor and cyclic ricci tensor on para-kenmotsu manifolds [PDF]
LF Uwimbabazi Ruganzu +3 more
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Study on Semi-symmetric Para Kenmotsu Manifolds
Current Topics on Mathematics and Computer Science Vol. 9, 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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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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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.
H. Yoldaş
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Eta-Ricci solitons on Lorentzian para-Kenmotsu manifolds
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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Geometric inequalities of $ \mathcal{PR} $-warped product submanifold in para-Kenmotsu manifold
The main purpose of this paper is to study the properties of $ \mathcal{PR} $-semi-invariant submanifold of para-Kenmotsu manifold. We obtain the integrability conditions for the invariant distribution and anti-invariant distribution.
Fatemah Mofarreh +2 more
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LP-KENMOTSU MANIFOLD ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION
jnanabha, 2022In this paper we study Schouten-van Kampen connection on a Lorentzian para-Kenmotsu manifolds M. We obtain curvature tensor Ř, Ricci tensor Ŝ and scalar curvature ř, with respect to Schouten-van Kampen connection and study their properties.
P. Bhatt, S. K. Chanyal
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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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