Results 11 to 20 of about 8,119 (142)
Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
Carpathian Mathematical Publications, 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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Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
S. Dey, N. Turki
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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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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η \eta -Einstein para-Kenmotsu manifold admits a conformal η \eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η \eta -Ricci soliton is Einstein if its potential vector field V V is ...
Yanlin Li, S. Dey, S. Pahan, Akram Ali
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Carpathian Mathematical Publications, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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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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∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds [PDF]
Mathematica Slovaca, 2019 Abstract In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ is zero. For 3-dimensional case, if M admits a *-Ricci soliton, then we show that M is of constant sectional curvature –1. Next, we show that if M admits a
Venkatesh, Venkatesha +2 more
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Homogeneous Ricci almost solitons [PDF]
Israel Journal of Mathematics, 2017 It is shown that a locally homogeneous proper Ricci almost soliton is either of constant sectional curvature or a product $\mathbb{R}\times N(c)$, where $N(c)$ is a space of constant curvature.
Calviño-Louzao, Esteban +3 more
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Geometry of almost contact metrics as almost ∗-Ricci solitons
International Journal of Geometric Methods in Modern Physics, 2023 In this paper, we give some characterizations by considering ∗-Ricci soliton as a Kenmotsu metric. We prove that if a Kenmotsu manifold represents an almost ∗-Ricci soliton and the potential vector field [Formula: see text] is a Jacobi along the Reeb vector field, then it is a steady ∗-Ricci soliton.
Dhriti Sundar Patra +2 more
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Almost $$*$$-Ricci soliton on paraKenmotsu manifolds [PDF]
Arabian Journal of Mathematics, 2019 Abstract We consider almost $$*$$ ∗ -Ricci solitons in the context of paracontact geometry, precisely, on a paraKenmotsu manifold. First, we prove that if the metric g of $$\eta $$ η -Einstein paraKenmotsu manifold is $$*$$ ∗ Ricci soliton, then M is Einstein.
V. Venkatesha +2 more
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