Results 61 to 70 of about 103 (83)

A note on gradient k-Yamabe solitons

Annals of Global Analysis and Geometry, 2022
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Antonio W. Cunha, Eudes L. de Lima
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On Finslerian Warped Product Gradient Yamabe Solitons

Bulletin of the Brazilian Mathematical Society, New Series, 2022
In the present paper the authors study the Finslerian gradient Yamabe solitons on warped product manifolds. Firstly, the authors present some rigidity results related to the warping and potential functions and in order to provide nontrivial examples, they consider the warped product base as a double twisted product invariant by the action of a ...
W. Tokura, L. Adriano, R. Pina, M. Barboza   +3 more
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Properties of Warped Product Gradient Yamabe Solitons

Mediterranean Journal of Mathematics, 2023
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Willian Tokura, Marcelo Barboza, Levi Adriano, Romildo Pina   +3 more
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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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Geometry of gradient Yamabe solitons

Annals of Global Analysis and Geometry, 2016
Let \((M,g)\) 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, 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
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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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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 ...
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Yamabe and gradient Yamabe solitons on 3-dimensional hyperbolic Kenmotsu manifolds

2021
Summary: The main goal of this manuscript is to study the properties of 3-dimensional hyperbolic Kenmotsu manifolds endowed with Yamabe and gradient Yamabe metrics.
Pankaj, K., Chaubey, S. K., Ayar, Gülhan   +2 more
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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 W. Cunha, Rong Mi
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