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Some Results on Ricci Almost Solitons [PDF]

Symmetry, 2021
We find three necessary and sufficient conditions for an n-dimensional compact Ricci almost soliton (M,g,w,σ) to be a trivial Ricci soliton under the assumption that the soliton vector field w is a geodesic vector field (a vector field with integral curves geodesics).
Nasser Bin Turki, Hana Al Sodais, Sharief Deshmukh   +2 more
exaly   +2 more sources

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A note on almost Ricci solitons

Analysis and Mathematical Physics, 2020
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Sharief Deshmukh, Deshmukh Sharief
exaly   +3 more sources

Characterization of Almost η-Ricci–Yamabe Soliton and Gradient Almost η-Ricci–Yamabe Soliton on Almost Kenmotsu Manifolds

Acta Mathematica Sinica, English Series, 2023
\textit{S. Güler} and \textit{M. Crasmareanu} [Turk. J. Math. 43, No. 5, 2631--2641 (2019; Zbl 1433.53125)] introduced a new geometric flow under the name of Ricci-Yamabe flow because it is a scalar combination of the well-known Ricci and Yamabe flows. The paper under review is concerned with the notion of \(\eta \)-Ricci-Yamabe soliton in the setting ...
Santu Dey, Arindam Bhattacharyya, Bhattacharyya Arindam   +2 more
exaly   +3 more sources

∗-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
Aruna Kumara H, Devaraja Mallesha Naik
exaly   +3 more sources

EXISTENCE OF CONFORMAL RICCI SOLITON AND CHARACTERISTICS OF ALMOST CONFORMAL RICCI SOLITONS ON SASAKIAN MANIFOLD

Journal of Mathematical Sciences, 2023
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Arindam Bhattacharyya, Bhattacharyya Arindam   +1 more
exaly   +3 more sources

η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds

International Journal of Geometric Methods in Modern Physics, 2019
In this paper, we study para-Sasakian manifold [Formula: see text] whose metric [Formula: see text] is an [Formula: see text]-Ricci soliton [Formula: see text] and almost [Formula: see text]-Ricci soliton. We prove that, if [Formula: see text] is an [Formula: see text]-Ricci soliton, then either [Formula: see text] is Einstein and in such a case the ...
Naik, Devaraja Mallesha, Venkatesha, V.
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Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry

International Journal of Geometric Methods in Modern Physics, 2022
In this paper, we study conformal Ricci soliton and almost conformal Ricci soliton within the framework of paracontact manifolds. Here, we have shown the characteristics of the soliton vector field and the nature of the manifold if para-Sasakian metric satisfies conformal Ricci soliton. We also demonstrate the feature of the soliton vector field V and
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Some remarks and results on h-almost Ricci solitons

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022
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Faraji, Hamed, Azami, Shahroud
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On a Class of Almost Weighted Ricci Solitons

Results in Mathematics
The authors study almost \((a,c)\)-weighted Ricci solitons with weight constants \(a\) and \(c\) in Finsler geometry, which encompass various types of solitons including (gradient) almost Ricci solitons, (gradient) Ricci solitons, \((a,c)\)-weighted Einstein Finsler metrics, and Einstein Finsler metrics.
Luyao Tan, Qiaoling Xia
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A note on rigidity of the almost Ricci soliton

Archiv Der Mathematik, 2013
A Riemannian manifold \((M^n,g)\) is called an almost Ricci soliton if there exist a complete vector field \(X\) and a smooth real function \(\lambda\) such that \[ \mathrm{Ric}(g)+\frac{1}{2}\mathcal{L}_Xg=\lambda g. \] If the vector field \(X\) is the gradient of a smooth function \(f\) then the Riemannian manifold \((M^n,g)\) is a gradient almost ...
Abdènago Barros
exaly   +3 more sources