Results 51 to 60 of about 13,990,992 (117)
Harmonic (p, q)‐Curves in Trans‐Sasakian and Normal Almost Paracontact Metric Manifolds
Journal of Mathematics, Volume 2025, Issue 1, 2025.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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Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
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Generalized -Einstein 3-dimensional trans-Sasakian manifold
, 2020 . In the present note we have introduced a new concept called generalized -Einstein manifold in a 3-dimensional trans-Sasakian manifold and have given some preliminary ideas about the same.
Sasakian Manifold +2 more
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\eta-RICCI SOLITONS IN LORENTZIAN \alpha-SASAKIAN MANIFOLDS
, 2020 In the present paper, we have studied $\eta$-Ricci solitons in Lorentzian \\ $\alpha-$Sasakian manifolds satisfying certain curvature conditions. The existence of $\eta-$Ricci soliton in a Lorentzian $\alpha-$Sasakian manifold has been proved by a ...
Prasad, Rajendra, Haseeb, Abdul
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Quasi Conformal Curvature Tensor on a Lorentzian Para-Sasakian Manifold
Journal of the Tensor Society, 2009 In This paper, we consider quasi-conformally flat, quasi-conformally conservative and -quasi conformally flat Lorentzian para-sasakian manifold. It has also been proved that an Einstein Lorentzian para-sasakian manifold satisfying the relation R(X, Y). = 0, where is a quasi-conformal curvature tensor is locally isometric with a unit sphere.
Anjana Singh, Amit Prakash
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η-Ricci solitons on Lorentzian para-Sasakian manifolds
Filomat, 2016 We consider η-Ricci solitons on Lorentzian para-Sasakian manifolds satisfying certain curvature conditions: R(ξ,X) · S = 0 and S · R(ξ,X) = 0. We prove that on a Lorentzian para-Sasakian manifold (M, φ, ξ, η, 1), if the Ricci curvature satisfies one of the previous conditions, the existence of η-Ricci solitons implies that (M, 1) is Einstein manifold ...
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SLANT SUBMANIFOLDS OF LORENTZIAN SASAKIAN AND PARA SASAKIAN MANIFOLDS
Taiwanese Journal of Mathematics, 2013 In this paper we introduce the notion of slant submanifolds of a Lorentzian almost contact manifold and of a Lorentzian almost para contact mani- fold.
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On anti-invariant semi-Riemannian submersions from Lorentzian para-Sasakian manifolds
Filomat, 2018 In this paper, we study a semi-Riemannian submersion from Lorentzian almost (para) contact manifolds and find necessary and sufficient conditions for the characteristic vector field to be vertical or horizontal. We also obtain decomposition theorems for anti-invariant semi-Riemannian submersions from Lorentzian para-Sasakian manifolds onto ...
Faghfouri, Morteza, Mashmouli, Sahar
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ON NON-INVARIANT HYPERSURFACES OF AN ε-PARA SASAKIAN MANIFOLD [PDF]
, 2020 In the present paper non-invariant hypersurfaces of an ε- para Sasakian manifold of an induced structure (f,g,u,v,λ) are studied. Some properties followed by this structure are obtained.
Kishor, Shyam, Kanaujia, Prerna
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Degenerate Foliations in Sasakian Semi-Riemannian Manifolds [PDF]
In the Semi-Riemannian case we do not have the liability of the existence of such a metric being a difference from the Riemannian case. A Semi-Riemannian manifold provided with a normal contact metric structure is called Sasakian manifold.Semi-Riemannian,
Catalin Angelo Ioan
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