Results 11 to 20 of about 157 (140)
Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
Karpatsʹkì Matematičnì Publìkacìï, 2019 First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
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Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
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On a Class of Gradient Almost Ricci Solitons [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2020 In this study, we provide some classifications for half-conformally flat gradient $f$-almost Ricci solitons, denoted by $(M, g, f)$, in both Lorentzian and neutral signature. First, we prove that if $||\nabla f||$ is a non-zero constant, then $(M, g, f)$ is locally isometric to a {warped product} of the form $I \times_φ N$, where $I \subset \mathbb{R}$
Güler, Sinem, Güler, Sinem
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Gulf Journal of Mathematics, 2022 Abstract. In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is Jacobi along Reeb vector field ξ, then g becomes a ∗-Ricci soliton.• If a ...
Kundu, Satyabrota, Halder, S., De, K.
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Almost $$\eta $$-Ricci solitons on Kenmotsu manifolds [PDF]
European Journal of Mathematics, 2021 In this paper we characterize the Einstein metrics in such broader classes of metrics as almost $η$-Ricci solitons and $η$-Ricci solitons on Kenmotsu manifolds, and generalize some results of other authors. First, we prove that a Kenmotsu metric as an $η$-Ricci soliton is Einstein metric if either it is $η$-Einstein or the potential vector field $V$ is
Dhriti Sundar Patra, Vladimir Rovenski
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International Electronic Journal of Geometry, 2023 In the paper, we study complete almost Ricci solitons using the concepts and methods of geometric dynamics and geometric analysis. In particular, we characterize Einstein manifolds in the class of complete almost Ricci solitons. Then, we examine compact almost Ricci solitons using the orthogonal expansion of the Ricci tensor, this allows us to ...
Vladimir Rovenski +2 more
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Almost Ricci–Yamabe solitons on almost Kenmotsu manifolds
Asian-European Journal of Mathematics, 2023 This paper examines almost Kenmotsu manifolds (briefly, AKMs) endowed with the almost Ricci–Yamabe solitons (ARYSs) and gradient ARYSs. The condition for an AKM with ARYS to be [Formula: see text]-Einstein is established. We also show that an ARYS on Kenmotsu manifold becomes a Ricci–Yamabe soliton under certain restrictions.
Mohan Khatri, Jay Prakash Singh
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Geometric classifications of k-almost Ricci solitons admitting paracontact metrices
Open Mathematics, 2023 The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin +4 more
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Isometries on almost Ricci–Yamabe solitons
Arabian Journal of Mathematics, 2022 AbstractThe purpose of the present paper is to examine the isometries of almost Ricci–Yamabe solitons. Firstly, the conditions under which a compact gradient almost Ricci–Yamabe soliton is isometric to Euclidean sphere $$S^n(r)$$ S n
Mohan Khatri +2 more
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A New Class of Almost Ricci Solitons and Their Physical Interpretation. [PDF]
Int Sch Res Notices, 2016 We establish a link between a connection symmetry, called conformal collineation, and almost Ricci soliton (in particular Ricci soliton) in reducible Ricci symmetric semi-Riemannian manifolds. As a physical application, by investigating the kinematic and dynamic properties of almost Ricci soliton manifolds, we present a physical model of imperfect ...
Duggal KL.
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