Results 111 to 120 of about 446 (140)
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Triviality results for quasi k-Yamabe solitons
Archiv der Mathematik, 2022The authors study a special case of Einstein-type manifolds, the quasi \(k\)-Yamabe solitons. A quasi \(k\)-Yamabe soliton is a Riemannian manifold \((M,g)\) for which there exists a vector field \(X\) and constants \(m\not=0,\lambda\in\mathbb R\) such that \[ \frac12\mathcal{L}_Xg - \frac1m X^\flat\otimes X^\flat = (\sigma_k-\lambda)g, \] where ...
Willian Isao Tokura +3 more
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Ricci-Yamabe Solitons in f(R)-gravity
International Electronic Journal of Geometry, 2023The main objective of this paper is to describe the perfect fluid spacetimes fulfilling $f(R)$-gravity, when Ricci-Yamabe, gradient Ricci-Yamabe and $\eta$-Ricci-Yamabe solitons are its metrics. We acquire conditions for which the Ricci-Yamabe and the gradient Ricci-Yamabe solitons are expanding, steady or shrinking.
Krishnendu De, U.c. 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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Rotationally symmetric gradient Yamabe solitons
Archiv der MathematikA 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, 2019AbstractThe 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 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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On almost quotient Yamabe solitons
Glasgow Mathematical JournalAbstractIn 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 +3 more
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Notes on m-quasi Yamabe gradient solitons
Proceedings - Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rahul Poddar +2 more
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Photonic microwave generation in the X- and K-band using integrated soliton microcombs
Nature Photonics, 2020Junqiu Liu +2 more
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