Results 1 to 10 of about 84 (69)

On The Existence of Yamabe Gradient Solitons [PDF]

International Journal of Mathematical, Engineering and Management Sciences, 2018
The Yamabe soliton is a special soliton of Yamabe flow obtained by R. S. Hamilton, which was formulated due to Yamabe formula introduced by H. Yamabe in 1960. Recently Cao, Sun and Zhang introduced Yamabe gradient soliton. In this paper, the existence of
Yadab Chandra Mandal, Shyamal Kumar Hui
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On the gradient Finsler Yamabe solitons [PDF]

AUT Journal of Mathematics and Computing, 2020
Here, it is proved that the potential functions of Finsler Yamabe solitons have at most quadratic growth in distance function. Also it is obtained a finite topological type property on complete gradient Finsler Yamabe solitons under suitable scalar ...
Mohamad Yar Ahmadi
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Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]

Arab Journal of Mathematical Sciences
Purpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri, Jay Prakash Singh
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A note on compact gradient Yamabe solitons

Journal of Mathematical Analysis and Applications, 2012
We will give a simple proof that the metric of any compact Yamabe gradient soliton (M,g) is a metric of constant scalar curvature when the dimension of the manifold n>2.
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On trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons

Journal of Geometry
We provide conditions for a compact gradient hyperbolic Ricci and a compact gradient hyperbolic Yamabe soliton to be trivial, hence, the manifold to be an Einstein manifold in the first case, and a manifold of constant scalar curvature, in the second case. In particular, we prove that for a compact gradient hyperbolic Yamabe soliton of dimension $>2$
Adara M Blaga, Blaga Adara M
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A Note on (Anti-)Self Dual Quasi Yamabe Gradient Solitons

Results in Mathematics, 2016
In this note we prove that a (anti-)self dual quasi Yamabe soliton with positive sectional curvature is rotationally symmetric. This generalizes a recent result of G. Huang and H. Li in dimension four. Whence, (anti-) self dual gradient Yamabe solitons with positive sectional curvature is rotationally symmetric. We also prove that half conformally flat
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Characterization of Almost Yamabe Solitons and Gradient Almost Yamabe Solitons with Conformal Vector Fields [PDF]

Symmetry, 2021
In this paper, some sufficient conditions of almost Yamabe solitons are established, such that the solitons are Yamabe metrics, by which we mean metrics of constant scalar curvature. This is achieved by imposing fewer topological constraints. The properties of the conformal vector fields are exploited for the purpose of establishing various necessary ...
Ali H. Alkhaldi, Laurian Ioan Piscoran, Abimbola Abolarinwa, Akram Ali   +3 more
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A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons

Hacettepe Journal of Mathematics and Statistics, 2021
In this article, we characterize almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in context of three dimensional Kenmotsu manifolds. It is proven that if the metric of a three dimensional Kenmotsu manifold admits an almost quasi-Yamabe soliton with soliton vector field $W$ then the manifold is of constant sectional curvature $-1$,
Sujit GHOSH, U.c. DE, Ahmet YILDIZ
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A Note on LP-Kenmotsu Manifolds Admitting Conformal Ricci-Yamabe Solitons

International Journal of Analysis and Applications, 2023
In the current note, we study Lorentzian para-Kenmotsu (in brief, LP-Kenmotsu) manifolds admitting conformal Ricci-Yamabe solitons (CRYS) and gradient conformal Ricci-Yamabe soliton (gradient CRYS).
Mobin Ahmad, Gazala, Maha Atif Al-Shabrawi   +2 more
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On warped product gradient Yamabe solitons [PDF]

Journal of Mathematical Analysis and Applications, 2019
14 pages, 1 ...
W. Tokura, L. Adriano, R. Pina, M. Barboza   +3 more
openaire   +3 more sources