Results 31 to 40 of about 218 (125)
Riemann solitons on generalized weakly ω-symmetric α-cosymplectic manifolds [PDF]
Surveys in Mathematics and its Applications, 2021 Generalized quasi-conformal curvature tensor (ω-tensor) has the flavor of conformal, conharmonic, concircular, projective, m-projective, W1-curvature, W2-curvature and W4-curvature tensors.
Sabina Eyasmin +2 more
doaj
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
Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
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On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
Universal Journal of Mathematics and Applications, 2023 In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
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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
Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms
Communications in Advanced Mathematical Sciences, 2023 In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according ...
Mehmet Atçeken, Tuğba Mert
doaj +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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source