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Rigidity of gradient generalized $$\eta $$-Ricci solitons
European Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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λ-Hypersurfaces on shrinking gradient Ricci solitons
Journal of Mathematical Analysis and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barbosa, Ezequiel +2 more
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On the Rigidity of Gradient Ricci Solitons
2015A complete Riemannian manifold (M, g) is said to be a gradient Ricci soliton if there exists a smooth function \(f: M \rightarrow \mathbb{R}\) such that \(\displaystyle{ Rc + H_{f} =\lambda g, }\) where Rc denotes the Ricci tensor, H f is the Hessian of the function f, and \(\lambda\) is a real number.
Manuel Fernández-López +1 more
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SOME GAP THEOREMS FOR GRADIENT RICCI SOLITONS
International Journal of Mathematics, 2012Necessary and sufficient conditions for a gradient Ricci soliton to be Einstein are given, showing that they can be expressed in terms of upper and lower bounds on the behavior of the Ricci tensor when evaluated on the gradient of the potential function of the soliton.
Fernández-López, Manuel +1 more
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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.
Karaca, Fatma +2 more
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On Gradient Shrinking and Expanding Kähler–Ricci Solitons
Mediterranean Journal of Mathematics, 2021In this paper, the author proves three theorems about gradient shrinking and expanding Kähler-Ricci solitons. The first theorem says that a compact gradient shrinking Kähler-Ricci soliton with subharmonic scalar curvature is Kähler-Einstein. The proof goes as follows: since it is known that the scalar curvature \(R\) of a gradient shrinking soliton is ...
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Gradient Ricci Solitons with Structure of Warped Product
Results in Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lemes de Sousa, Márcio, Pina, Romildo
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Gradient generalized η\eta -Ricci soliton and contact geometry
Journal of Geometry, 2022Amalendu Ghosh
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A note on gradient Ricci soliton warped metrics
Mathematische Nachrichten, 2021José N V Gomes, Marcus Marrocos
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