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∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds [PDF]
Mathematica Slovaca, 2019 Abstract In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ is zero. For 3-dimensional case, if M admits a *-Ricci soliton, then we show that M is of constant sectional curvature –1. Next, we show that if M admits a
Devaraja Mallesha Naik, H Aruna Kumara
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Characterization of Ricci Almost Soliton on Lorentzian Manifolds
Symmetry, 2023 Ricci solitons (RS) have an extensive background in modern physics and are extensively used in cosmology and general relativity. The focus of this work is to investigate Ricci almost solitons (RAS) on Lorentzian manifolds with a special metric connection
Yanlin Li +2 more
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CLASSES OF GRADIENT RICCI SOLITONS
International Journal of Geometric Methods in Modern Physics, 2011We introduce a study of Riemannian manifold M = ℝ2 endowed with a metric of diagonal type of the form [Formula: see text], where g is a positive function, of C∞-class, depending on the variable x2 only. We emphasize the role of metric [Formula: see text] in determining manifolds having negative, null or positive sectional curvature.
Bercu, Gabriel, Postolache, Mihai
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Ricci Solitons and Gradient Ricci Solitons on Nearly Cosymplectic Manifolds
2021In this paper, we study nearly Kenmotsu manifolds with a Ricci soliton and we obtain certain conditions about curvature tensors.
Yıldırım, M., Ayar, Gülhan
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On Gradient Shrinking Ricci Solitons with Radial Conditions
Bulletin of the Malaysian Mathematical Sciences Society, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fei Yang, Liangdi Zhang, Haiyan Ma
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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 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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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 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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