Results 51 to 60 of about 105 (83)

Rotational symmetry of complete shrinking gradient Yamabe solitons

, 2023
10 ...
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Kenmotsu 3-manifold admitting gradient Ricci-Yamabe solitons and *-η-Ricci-Yamabe solitons

Filomat
In this paper, we classify Kenmotsu manifolds admitting gradient Ricci-Yamabe solitons and *-?-Ricci-Yamabe solitons. We find conditions of Kenmotsu manifold about when it shrink, expand and steady. It is shown that Kenmotsu 3-manifold endowed with gradient Ricci-Yamabe soliton and with constant scalar curvature becomes an Einstein manifold.
Rajendra Prasad, Vinay Kumar
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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 $>2$
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Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons. [PDF]

Heliyon
De K, Khan MNI, De UC.
europepmc   +1 more source

Remarks on Yamabe Soliton and Gradient Yamabe Soliton

Bulgarian Journal of Physics
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The Existence of Gradient Yamabe Solitons on Spacetimes

Results in Mathematics, 2022
The authors investigate the existence of the non-trivial gradient Yamabe soliton on generalized Robertson-Walker spacetimes, standard static spacetimes, Walker manifolds and pp-wave spacetimes. The most remarkable results concern gradient Yamabe solitons on pp-wave spacetimes (see Section 3.5).
Sinem GÜLER, Bulent Ünal
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A note on gradient k-Yamabe solitons

Annals of Global Analysis and Geometry, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eudes de Lima, Antonio Wilson Cunha, Cunha Antonio W   +2 more
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On Finslerian Warped Product Gradient Yamabe Solitons

Bulletin of the Brazilian Mathematical Society, 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 ...
Levi Adriano
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Properties of Warped Product Gradient Yamabe Solitons

Mediterranean Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Willian Tokura, Marcelo Barboza, Romildo Pina   +2 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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