Results 111 to 120 of about 157 (140)

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, Dey Santu   +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
Devaraja Mallesha Naik, H Aruna Kumara
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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Dipen Ganguly, Arindam Bhattacharyya, Bhattacharyya Arindam   +2 more
exaly   +3 more sources

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 ...
A Barros, JOSÉ N V Gomes
exaly   +3 more sources

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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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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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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$K$-Ricci-Bourguignon Almost Solitons

International Electronic Journal of Geometry
We in this current article introduce and characterize a $K$-Ricci-Bourguignon almost solitons in perfect fluid spacetimes and generalized Robertson-Walker spacetimes. First, we demonstrate that if a perfect fluid spacetime admits a $K$-Ricci-Bourguignon almost soliton, then the integral curves produced by the velocity vector field are geodesics and the
U.c. De, Krishnendu De
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