Results 21 to 30 of about 62 (50)
Some Solitons on Lorentzian Para-Kenmotsu Manifolds
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
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On LP-Kenmotsu Manifold with Regard to Generalized Symmetric Metric Connection of Type (α, β)
In the current article, we examine Lorentzian para-Kenmotsu (shortly, LP-Kenmotsu) manifolds with regard to the generalized symmetric metric connection ∇G of type (α,β).
Doddabhadrappla Gowda Prakasha +3 more
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Harmonic (p, q)‐Curves in Trans‐Sasakian and Normal Almost Paracontact Metric Manifolds
In this paper, we give some characterizations about biharmonic, f‐harmonic, and f‐biharmonic (p, q)‐curves in 3‐dimensional trans‐Sasakian and normal almost paracontact metric manifolds. The (p, q)‐curves are considered as generalizations of magnetic curves.
Murat Altunbaş, B. B. Upadhyay
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Some results on invarinat submanifolds of Lorentzian para-Kenmotsu manifolds
Summary: The purpose of this paper is to study invariant submanifolds of a Lorentzian para Kenmotsu manifold. We obtain the necessary and sufficient conditions for an invariant submanifold of a Lorentzian para Kenmotsu manifold to be totally geodesic. Finally, a non-trivial example is built in order to verify our main results.
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The Interesting Characterizations of Some Solitons in Lorentzian Para-Kenmotsu Manifolds
In this article, we have investigated some special solitons in Lorentz para-Kenmotsu manifolds. We have studied in detail some important solitons such as almost $\eta$-Ricci soliton, conformal Ricci soliton and $\eta$-Ricci Bourguignon solitons in Lorentz para-Kenmotsu manifolds.
Tuğba Mert, Mehmet Atçeken
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On $\mathbf{\mathfrak{t}}$-hypersurfaces of Lorentzian para Kenmotsu manifolds
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, Pooja Gupta
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The main object of this work is to study the generalized B-curvature tensor in an n-dimensional Lorentzian para-Kenmotsu (briefly, (LPK)n) manifold along a semi-symmetric metric connection ∇¯. First, in an (LPK)n-manifold, we explore certain flatness conditions, namely, B¯(Y,Z)X=0, B¯(Y,Z)ζ=0, g(B¯(φY,φZ)φX,φW)=0, and B¯(Y,Z)·φ=0 conditions, which all ...
Rajendra Prasad +3 more
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The focus of this research is to investigate Chaki-pseudo parallel submanifolds in Lorentzian para-Kenmotsu manifolds. This study examines the properties of these submanifolds, including their totally geodesic nature under different connections such as the semisymmetric connection, Schouten-van Kampen connection, and Tanaka Webstar connections.
V. Venkatesha, C. Aishwarya
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Some results on Lorentzian para-Kenmotsu manifolds
Haseeb Samar, Rajendra Prasad
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On lorentzian para-kenmotsu manifolds satisfying "Wi" curvature tensor
FN Mburu, John Wahome
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