Results 51 to 60 of about 143 (108)
Significance of Solitonic Fibers in Riemannian Submersions and Some Number Theoretic Applications
, 2023 In this manifestation, we explain the geometrisation of η-Ricci–Yamabe soliton and gradient η-Ricci–Yamabe soliton on Riemannian submersions with the canonical variation.
Mohd Danish Siddiqi, Ali H. Hakami
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On the global structure of conformal gradient solitons with nonnegative Ricci tensor [PDF]
, 2012 In this paper we prove that any complete n-dimensional conformal gradient soliton with nonnegative Ricci tensor is either isometric to a direct product R x N^(n−1), or globally conformally equivalent to the Euclidean space R^n or to the round sphere S^n.
MAZZIERI, LORENZO +6 more
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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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Gradient solitons on twisted product manifolds and their applications in general relativity
, 2022 In this paper, first, we find the necessary and sufficient condition for a Riemannian manifold to be the locally warped product. Then we investigate the existence of different types of gradient solitons, such as gradient (almost) Yamabe soliton ...
Gfiler, Sinem +2 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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Classification of gradient Yamabe soliton hypersurfaces of space forms
, 2023 In this paper we investigate gradient Yamabe solitons, either steady or shrinking, that can be isometrically immersed into space forms as hypersurfaces that admit an upper bound on the norm of their second fundamental form.
Tokura, Willian Isao +1 more
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Integral pinched shrinking Ricci solitons [PDF]
, 2016 . We prove that a n-dimensional, 4 ≤ n ≤ 6, compact gradient shrinking Ricci soliton satisfying a Ln/2-pinching condition is isometric to a quotient of the round Sn.
CATINO, GIOVANNI, Giovanni Catino
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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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