Results 61 to 70 of about 105 (83)

Notes on m-quasi Yamabe gradient solitons

Proceedings of the Indian Academy of Sciences: Mathematical Sciences
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Ramesh Sharma, Rahul Poddar, Sharma Ramesh   +2 more
exaly   +2 more sources

Rotationally symmetric gradient Yamabe solitons

Archiv Der Mathematik
A Riemannian manifold \((M, g)\) is said to be a gradient Yamabe soliton if there exists a smooth function \(f: M\rightarrow \mathbb R\) and a scalar \(\lambda\) such that \(\nabla \nabla f=(R-\lambda)g,\) where \(\nabla \nabla f\) denotes the Hessian of \(f\) and \(R\) denotes the scalar curvature of \((M, g).\) The authors investigate conditions ...
Antonio Wilson Cunha, Cunha Antonio W
exaly   +3 more sources

Applications of certain maximum principles to gradient k-Yamabe solitons

Bolletino Dell Unione Matematica Italiana
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Eudes de Lima, Henrique de Lima, Antonio Wilson Cunha   +2 more
exaly   +3 more sources

Characterizations of Gradient h-Almost Yamabe Solitons

Results in Mathematics, 2022
A Riemannian manifold \(\left(M,g\right)\) is called a Yamabe soliton if there is a vector field \(X\) on \(M\) such that \(\frac{1}{2}\mathcal{L}_{X}g=\left(R-\lambda\right)g\), where \(\mathcal{L}_{X}\) is the Lie derivative in the direction of the vector field \(X\), \(\lambda\in\mathbb{R}\) and \(R\) is the scalar curvature of \(\left(M,g\right)\).
Antonio W. Cunha, Mohd. Danish Siddiqi
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Yamabe solitons and gradient Yamabe solitons on three-dimensional N(k)-contact manifolds

International Journal of Geometric Methods in Modern Physics, 2020
If a three-dimensional [Formula: see text]-contact metric manifold [Formula: see text] admits a Yamabe soliton of type [Formula: see text], then the manifold has a constant scalar curvature and the flow vector field [Formula: see text] is Killing. Furthermore, either [Formula: see text] has a constant curvature [Formula: see text] or the flow vector ...
Young Jin Suh, Uday Chand De
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Yamabe and gradient Yamabe solitons on real hypersurfaces in the complex quadric

International Journal of Geometric Methods in Modern Physics, 2021
In this paper, we give a complete classification of Yamabe solitons and gradient Yamabe solitons on real hypersurfaces in the complex quadric [Formula: see text]. In the following, as an application, we show a complete classification of quasi-Yamabe and gradient quasi-Yamabe solitons on Hopf real hypersurfaces in the complex quadric [Formula: see text]
Sudhakar K. Chaubey, Hyunjin Lee, Young Jin Suh   +2 more
openaire   +1 more source

A note on four-dimensional gradient Yamabe solitons

International Journal of Mathematics, 2022
In this paper, we prove that four-dimensional gradient Yamabe solitons must have a Yamabe metric, provided that an asymptotic condition holds. The [Formula: see text]-dimensional gradient Yamabe solitons are also considered.
Benedito Leandro, Jeferson Poveda
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On Gradient Ricci-Yamabe Solitons

Iranian Journal of Science
In this paper, we establish some necessary and sufficient conditions for multiply warped product manifolds admitting a gradient Ricci-Yamabe soliton. For this purpose, the potential function of this soliton and the conditions that must be satisfied for each component of the multiply warped product manifold are investigated.
Karaca, Fatma, Güler, Sinem, Güler, Sinem   +2 more
openaire   +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 ...
Mondal, Somnath, Dey, Santu, Bhattacharyya, Arindam   +2 more
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Yamabe and gradient Yamabe solitons in the complex hyperbolic two-plane Grassmannians

Reviews in Mathematical Physics, 2022
First, we want to give a complete classification of Yamabe solitons and gradient Yamabe solitons for real hypersurfaces in the complex hyperbolic two-plane Grassmannians [Formula: see text]. Next, as an application we also give a complete classification of quasi-Yamabe and gradient quasi-Yamabe solitons on real hypersurfaces in the complex hyperbolic ...
openaire   +2 more sources