Results 81 to 90 of about 120 (106)

Weighted Yamabe Solitons

Results in Mathematics, 2023
The authors study the weighted Yamabe flow equation in some smooth metric space introduced by \textit{Z. Yan} [Differ. Geom. Appl. 84, Article ID 101922, 33 p. (2022; Zbl 1496.35094)]. A Kazdan-Warner-type identity for the problem of prescribing weighted scalar curvature is studied.
Pak Tung Ho, Jinwoo Shin
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Yamabe solitons with boundary

Annali di Matematica Pura ed Applicata (1923 -), 2023
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Pak Tung Ho, Jinwoo Shin
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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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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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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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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.
Fatma Karaca, Sinem Güler
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On almost quotient Yamabe solitons

Glasgow Mathematical Journal
AbstractIn this paper, we investigate the structure of certain solutions of the fully nonlinear Yamabe flow, which we call almost quotient Yamabe solitons as they extend quite naturally those already called quotient Yamabe solitons. We present sufficient conditions for a compact almost quotient Yamabe soliton to be either trivial or isometric with an ...
Willian Tokura, Marcelo Barboza, Elismar Batista, Priscila Kai   +3 more
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Notes on m-quasi Yamabe gradient solitons

Proceedings - Mathematical Sciences
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Rahul Poddar, Ramesh Sharma, Balasubramanian Subramanian   +2 more
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Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton

Symmetry, 2022
Yanlin Li, Soumendu Roy, Santu Dey
exaly  

Sasakian 3-metric as a generalized Ricci-Yamabe soliton

Quaestiones Mathematicae, 2022
Dibakar Dey, Pradip Majhi
exaly