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Lorentzian Para-Kenmotsu Manifolds Within the Framework of ∗-Conformal η-Ricci Soliton [PDF]

open access: goldJournal of Applied Mathematics
The present article intends to study the ∗-conformal η-Ricci soliton on n-LPK (n-dimensional Lorentzian para-Kenmotsu) manifolds with curvature constraints.
Shyam Kishor   +3 more
doaj   +4 more sources

ETA-RICCI SOLITONS ON LORENTZIAN PARA-KENMOTSU MANIFOLDS [PDF]

open access: diamondFacta Universitatis, Series: Mathematics and Informatics, 2021
The objective of present research article is to investigate the geometric properties of $\eta$-Ricci solitons on Lorentzian para-Kenmotsu manifolds. In this manner, we consider $\eta$-Ricci solitons on Lorentzian para-Kenmotsu manifolds satisfying $R\cdot S=0$.
Shashikant Pandey   +2 more
semanticscholar   +3 more sources

A note on pseudoparallel submanifolds of Lorentzian para-Kenmotsu manifolds

open access: diamondFilomat, 2023
In this article, pseudoparallel submanifolds for Lorentzian para-Kenmotsu manifolds are investigated. The Lorentzian para-Kenmotsu manifold is considered on the W1?curvature tensor. Submanifolds of these manifolds with properties such as W1?pseudoparallel, W1?2 pseudoparallel, W1?Ricci generalized pseudoparallel, and W1 ?
Tuğba Mert, Mehmet Atçeken
semanticscholar   +7 more sources

Some results on Lorentzian para-Kenmotsu manifolds

open access: bronzeSERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2020
In the present paper, we define Lorentzian para-Kenmotsu manifolds and study Ricci-pseudosymmetric, Ricci-generalized pseudosymmetric and symmetric conditions to characterize Lorentzian para-Kenmotsu manifolds.
Haseeb Samar, Rajendra Prasad
semanticscholar   +3 more sources

Conformal η-Ricci soliton in Lorentzian para Kenmotsu manifolds

open access: diamondGulf Journal of Mathematics, 2023
The objective of the present paper is to study conformal η-Ricci soliton on Lorentzian Para-Kenmotsu manifolds with some curvature conditions. We study Concircular curvature tensor, Quasi conformal curvature tensor, Codazi type of Ricci tensor and cyclic parallel Ricci tensor in Lorentzian Para-Kenmotsu manifolds.
Rajendra Prasad, Vinay Kumar
semanticscholar   +5 more sources

Almost η-Ricci Solitons on the Pseudosymmetric Lorentzian Para-Kenmotsu Manifolds

open access: diamondEarthline Journal of Mathematical Sciences, 2023
In this paper, we consider Lorentzian para-Kenmotsu manifold admitting almost $\eta-$Ricci solitons by virtue of some curvature tensors. Ricci pseudosymmetry concepts of Lorentzian para-Kenmotsu manifolds admitting $\eta-$Ricci soliton have introduced according to the choice of some curvature tensors such as Riemann, concircular, projective, $\mathcal ...
Tuğba Mert, Mehmet Atçeken
semanticscholar   +4 more sources

Certain results on Lorentzian para-Kenmotsu manifolds

open access: diamondBoletim da Sociedade Paranaense de Matemática, 2020
The object of the present paper is to study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection. First we study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection satisfying the conditions $\bar R\cdot \bar S=0$ and $\bar S\cdot \bar R=0$.
Abdul Haseeb, Rajendra Prasad
semanticscholar   +6 more sources

Some Solitons on Lorentzian Para-Kenmotsu Manifolds

open access: diamondSarajevo Journal of Mathematics
In this paper we study the nature of the Einstein soliton and $\eta $-Einstein soliton in the framework of Lorentzian para-Kenmotsu manifolds (briefly, LP-Kenmotsu manifolds). We find an expression for scalar curvature of LP-Kenmotsu manifolds admitting the Einstein soliton and $\eta $-Einstein soliton in various cases.
Abhijit Mandal, Meghlal Mallik
semanticscholar   +4 more sources

On $\mathbf{\mathfrak{t}}$-hypersurfaces of Lorentzian para Kenmotsu manifolds

open access: diamondBoletim da Sociedade Paranaense de Matemática
The main purpose of this paper is to study transversal hypersurface (briefly, $\mathfrak{T}$-hypersurface) of Lorentzian para Kenmotsu manifolds. It is proved that each $\mathfrak{T}$-hypersurface of Lorentzian almost paracontact manifold admits an almost product Lorentzian metric structure $(J,G)$.
Rajendra Prasad, P. Gupta
semanticscholar   +4 more sources

Eta-Ricci solitons on Lorentzian para-Kenmotsu manifolds

open access: bronzeBulletin 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 ...
Priyanka Almia, Jaya Upreti
semanticscholar   +5 more sources

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