Results 21 to 30 of about 550 (112)
Hacettepe Journal of Mathematics and Statistics, 2022 The goal of the current paper is to characterize the $\ast$-$k$-Ricci-Yamabe soliton within the framework on Kenmotsu manifolds. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admits the $\ast$-$k$-Ricci-Yamabe soliton on the Kenmotsu manifold.
Santu Dey +2 more
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On trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons [PDF]
Journal of Geometry, 2023 We provide conditions for a compact gradient hyperbolic Ricci and a compact gradient hyperbolic Yamabe soliton to be trivial, hence, the manifold to be an Einstein manifold in the first case, and a manifold of constant scalar curvature, in the second case. In particular, we prove that for a compact gradient hyperbolic Yamabe soliton of dimension $>2$
Adara M. Blaga
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Invariant solutions of gradient $k$-Yamabe solitons [PDF]
, 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.
Willian Isáo Tokura +3 more
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On the structure of gradient Yamabe solitons [PDF]
Mathematical Research Letters, 2012 We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we prove a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons.
Huai-Dong Cao +2 more
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Some results on gradient almost quasi-Yamabe and gradient Yamabe solitons
Journal of Scientific EnquiryJhantu Das +3 more
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Yamabe Solitons and τ-Quasi Yamabe Gradient Solitons on Riemannian Manifolds Admitting Concurrent-Recurrent Vector Fields [PDF]
Mathematica Slovaca, 2023 Abstract We consider a Riemannian manifold (M,g) admitting a concurrent-recurrent vector field for which the metric g is a Yamabe soliton or a τ-quasi Yamabe gradient soliton. We show that if the metric of a Riemannian three-manifold (M, g) admitting a concurrent-recurrent vector field is a Yamabe soliton, then M is of constant negative ...
Devaraja Mallesha Naik +3 more
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Generalized Quasi Yamabe Gradient Solitons and Applications [PDF]
, 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
Si̇nem Güler, Bülent Ünal
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On a classification of the quasi Yamabe gradient solitons [PDF]
Methods and Applications of Analysis, 2014 11 ...
Guangyue Huang, Haizhong Li
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On Warped Product Gradient Yamabe Soliton [PDF]
, 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.
Willian Isáo Tokura +2 more
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On harmonic and biharmonic maps from gradient Ricci solitons
Mathematische Nachrichten, Volume 296, Issue 11, Page 5109-5122, November 2023., 2023 Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
wiley +1 more source