Results 111 to 120 of about 205 (141)

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 quasi-Yamabe solitons in paracontact metric manifolds

International Journal of Geometric Methods in Modern Physics, 2021
The aim of this paper is to characterize paracontact metric manifolds admitting Yamabe and quasi-Yamabe solitons. Several results of such solitons are proved. In particular, we classify Yamabe and quasi-Yamabe solitons on [Formula: see text]-paracontact metric manifolds.
De, Uday Chand, Suh, Young Jin
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A note on compact gradient Yamabe solitons [PDF]

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 ...
Shu-Yu Hsu
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Yamabe and Quasi-Yamabe Solitons on Hypersurfaces in the Complex Hyperbolic Space

Mediterranean Journal of Mathematics, 2023
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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 almost Yamabe solitons

Glasgow Mathematical Journal, 2023
AbstractIn this paper, we present a sufficient condition for almost Yamabe solitons to have constant scalar curvature. Additionally, under some geometric scenarios, we provide some triviality and rigidity results for these structures.
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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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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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Soliton to the fractional Yamabe flow

Nonlinear Analysis: Theory, Methods & Applications, 2016
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Yamabe Solitons and Ricci Solitons on Almost co-Kähler Manifolds

Canadian Mathematical Bulletin, 2019
AbstractThe object of this paper is to study Yamabe solitons on almost co-Kähler manifolds as well as on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds. We also study Ricci solitons on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds.
Suh, Young Jin, De, Uday Chand
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