Results 21 to 30 of about 144 (107)
ρ‐Einstein Solitons on Warped Product Manifolds and Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki +5 more
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A Note on Geodesic Vector Fields
Mathematics, 2020 The concircularity property of vector fields implies the geodesicity property, while the converse of this statement is not true. The main objective of this note is to find conditions under which the concircularity and geodesicity properties of vector ...
Sharief Deshmukh +3 more
doaj +1 more source
On a Classification of Almost C(α)‐Manifolds
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, pseudosymmetric and Ricci pseudosymmetric almost C(α)‐manifold are studied. For an almost C(α)‐manifold, Riemann pseudosymmetric, Riemann Ricci pseudosymmetric, Ricci pseudosymmetric, projective pseudosymmetric, projective Ricci pseudosymmetric, concircular pseudosymmetric, and concircular Ricci pseudosymmetric cases are considered and ...
Tuğba Mert, Serkan Araci
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LP‐Kenmotsu Manifolds Admitting η‐Ricci Solitons and Spacetime
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In the present paper, LP‐Kenmotsu manifolds admitting η‐Ricci solitons have been studied. Moreover, some results for η‐Ricci solitons in LP‐Kenmotsu manifolds in the spacetime of general relativity have also been proved. Through a nontrivial example, we have given a proof for the existence of η‐Ricci solitons in a 5‐dimensional LP‐Kenmotsu manifold.
Yanlin Li +3 more
wiley +1 more source
Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci‐Yamabe Metric
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In the present paper, we investigate the nature of Ricci‐Yamabe soliton on an imperfect fluid generalized Robertson‐Walker spacetime with a torse‐forming vector field ξ. Furthermore, if the potential vector field ξ of the Ricci‐Yamabe soliton is of the gradient type, the Laplace‐Poisson equation is derived.
Ali H. Alkhaldi +4 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Recently, we have obtained Ricci curvature inequalities for skew CR‐warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space.
Ibrahim Al-Dayel +2 more
wiley +1 more source
A Note on LP‐Sasakian Manifolds with Almost Quasi‐Yamabe Solitons
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We categorize almost quasi‐Yamabe solitons on LP‐Sasakian manifolds and their CR‐submanifolds whose potential vector field is torse‐forming, admitting a generalized symmetric metric connection of type (α, β). Finally, a nontrivial example is provided to confirm some of our results.
Sunil Kumar Yadav +3 more
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Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi‐invariant product submanifolds in terms of some differential equations. More precisely, by analyzing Bochner’s formula on these inequalities, we demonstrate that, under certain conditions, the base of these submanifolds is isometric to ...
Ibrahim Al-Dayel, Meraj Ali Khan
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Geodesic Mappings of Semi-Riemannian Manifolds with a Degenerate Metric
Mathematics, 2022 This article introduces the concept of geodesic mappings of manifolds with idempotent pseudo-connections. The basic equations of canonical geodesic mappings of manifolds with completely idempotent pseudo-connectivity and semi-Riemannian manifolds with a ...
Igor G. Shandra, Josef Mikeš
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A Study of Generalized Projective P−Curvature Tensor on Warped Product Manifolds
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The main aim of this study is to investigate the effects of the P−curvature flatness, P−divergence‐free characteristic, and P−symmetry of a warped product manifold on its base and fiber (factor) manifolds. It is proved that the base and the fiber manifolds of the P−curvature flat warped manifold are Einstein manifold.
Uday Chand De +4 more
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