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Study on Semi-symmetric Para Kenmotsu Manifolds

Current Topics on Mathematics and Computer Science Vol. 9, 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 (
T Satyanarayana, K L Sai Prasad
exaly   +3 more sources

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.
openaire   +2 more sources

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.
H. Yoldaş
openaire   +3 more sources

Eta-Ricci solitons on Lorentzian para-Kenmotsu manifolds

open access: yesBulletin 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
openaire   +3 more sources

Geometric inequalities of $ \mathcal{PR} $-warped product submanifold in para-Kenmotsu manifold

open access: yesAIMS Mathematics, 2022
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
exaly   +2 more sources

LP-KENMOTSU MANIFOLD ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION

jnanabha, 2022
In 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
semanticscholar   +1 more source

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
openaire   +1 more source

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