Results 81 to 90 of about 143 (108)
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Properties of Warped Product Gradient Yamabe Solitons
Mediterranean Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Willian Tokura +3 more
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Characterizations of Gradient h-Almost Yamabe Solitons
Results in Mathematics, 2022A 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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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 +2 more
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\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 +2 more
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On Gradient Ricci-Yamabe Solitons
Iranian Journal of ScienceIn 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.
Fatma Karaca, Sinem GÜLER
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Notes on m-quasi Yamabe gradient solitons
Proceedings of the Indian Academy of Sciences: Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rahul Poddar, Sharma Ramesh
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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, 2020If 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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Geometry of gradient Yamabe solitons
Annals of Global Analysis and Geometry, 2016Let \((M,g)\) be a complete Riemannian manifold. The Riemannian metric \(g=g_{ij}dx^idx^j\) is called a gradient Yamabe soliton if there exists a smooth function \(f:M\longrightarrow\mathbb{R}\) and a constant \(\lambda\in\mathbb{R}\) such that \[ (R-\lambda)g_{ij}=\nabla_i\nabla_jf, \] where \(R\) denotes the scalar curvature of the Riemannian metric \
Yang, Fei, Zhang, Liangdi
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Yamabe and gradient Yamabe solitons on real hypersurfaces in the complex quadric
International Journal of Geometric Methods in Modern Physics, 2021In 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 +2 more
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A note on four-dimensional gradient Yamabe solitons
International Journal of Mathematics, 2022In 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 trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons
Journal of GeometryWe 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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