Results 41 to 50 of about 105 (83)
Invariant solutions of gradient $k$-Yamabe solitons
, 2021 The purpose of this paper is to study gradient $k$-Yamabe solitons conformal to pseudo-Euclidean space. We characterize all such solitons invariant under the action of an $(n-1)$-dimensional translation group. For rotational invariant solutions, we provide the classification of solitons with null curvatures.
Tokura, W. +3 more
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On Warped Product Gradient Yamabe Soliton
, 2017 In this paper, we provide a necessary and sufficient conditions for the warped product $M=B\times_f F$ to be a gradient Yamabe soliton when the base is conformal to an n-dimensional pseudo-Euclidean space, which are invariant under the action of an (n-1)-dimensional translation group, and the fiber F is scalar-constant.
Tokura, Willian I. +2 more
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On the scalar curvature estimates for gradient Yamabe solitons
Kodai Mathematical Journal, 2013 Let (Mn,g) be a gradient Yamabe soliton Rg + Hess f = λg with Ricf1 ≥ K (see (1.3) for f1) and λ, K $in$ R are constants. In this paper, it is showed that for gradient shrinking Yamabe solitons, the scalar curvature R > 0 unless R ≡ 0 and (Mn,g) is the Gaussian soliton, and for gradient steady and expanding Yamabe solitons, R > λ unless R ≡ λ and (Mn,g)
Chu, Yawei, Wang, Xue
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Generalized Quasi Yamabe Gradient Solitons and Applications
, 2020 The purpose of this article is to study generalized quasi Yamabe gradient solitons on warped product manifolds. First, we obtain some necessary and sufficient conditions for the existence of generalized quasi Yamabe gradient solitons equipped with the warped product structure. Then we study three important applications in the Lorentzian and the neutral
Güler, Sinem, Ünal, Bülent
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On noncompact quasi Yamabe gradient solitons
Differential Geometry and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gradient Yamabe Solitons on Multiply Warped Product Manifolds
International Electronic Journal of Geometry, 2019 Summary: We consider gradient Yamabe solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Yamabe solitons.
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Complete noncompact and stochastically complete m-quasi Yamabe gradient solitons
Electronic Journal of Differential EquationsWe establish new characterization and nonexistence results concerning complete noncompact and stochastically complete m-quasi Yamabe gradient solitons through the applications of a key Bochner type formula jointly with suitable maximum principles dealing,
Giovanni Molica Bisci +3 more
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On almost generalized gradient Ricci-Yamabe soliton
FilomatInthis paper, we study the geometric characterizations and classify of the Riemannian manifold with generalized gradient Ricci-Yamabe soliton or almost generalized gradient Ricci-Yamabe soliton. In addition, theorems were obtained to construct a model space with gradient Ricci-Yamabe soliton, general-ized gradient Ricci-Yamabe soliton, almost gradient ...
Byung Kim, Jin Choi, Sang Lee
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A Note on (Anti-)Self Dual Quasi Yamabe Gradient Solitons
Results in Mathematics, 2016 In this note we prove that a (anti-)self dual quasi Yamabe soliton with positive sectional curvature is rotationally symmetric. This generalizes a recent result of G. Huang and H. Li in dimension four. Whence, (anti-) self dual gradient Yamabe solitons with positive sectional curvature is rotationally symmetric. We also prove that half conformally flat
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