Results 21 to 30 of about 120 (106)
Some characterizations of quasi Yamabe solitons
Journal of Geometry, 2022 10 ...
Shaikh, Absos Ali, Mandal, Prosenjit
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CR Yamabe constant, CR Yamabe flow and its soliton [PDF]
Nonlinear Analysis, 2020 To appear in NONLINEAR ANALYSIS-THEORY METHODS & ...
Ho, Pak Tung, Wang, Kunbo
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Certain results on Kenmotsu manifolds
Cumhuriyet Science Journal, 2020 In this paper, we focus on Kenmotsu manifolds. Firstly, we investigate almost quasi Ricci symmetric Kenmotsu manifolds. Then, we study Kenmotsu manifold admitting a Yamabe soliton. We find that if the soliton field of the Yamabe soliton is orthogonal to
Halil İbrahim Yoldaş
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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
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Kenmotsu 3-manifolds and gradient solitons
Karpatsʹkì Matematičnì Publìkacìï, 2023 The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature ...
F. Mofarreh, U.C. De
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Mathematika, Volume 69, Issue 3, Page 751-779, July 2023., 2023 Abstract In this article, we present new gradient estimates for positive solutions to a class of non‐linear elliptic equations involving the f‐Laplacian on a smooth metric measure space. The gradient estimates of interest are of Souplet–Zhang and Hamilton types, respectively, and are established under natural lower bounds on the generalised Bakry–Émery
Ali Taheri, Vahideh Vahidifar
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On Three-Dimensional CR Yamabe Solitons [PDF]
The Journal of Geometric Analysis, 2017 In this paper, we investigate the geometry and classification of three-dimensional CR Yamabe solitons. In the compact case, we show that any 3-dimensional CR Yamabe soliton must have constant Tanaka-Webster scalar curvature; we also obtain a classification under the assumption that their potential functions are in the kernel of the CR Paneitz operator.
Cao, Huai-Dong +2 more
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Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb +2 more
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Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons
Axioms, 2022 In this paper, we study the properties of ϵ-Kenmotsu manifolds if its metrics are *η-Ricci-Yamabe solitons. It is proven that an ϵ-Kenmotsu manifold endowed with a *η-Ricci-Yamabe soliton is η-Einstein. The necessary conditions for an ϵ-Kenmotsu manifold,
Abdul Haseeb +3 more
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Conformal Yamabe soliton and * -Yamabe soliton with torse forming potential vector field
, 2021 The goal of this paper is to study conformal Yamabe soliton and $*$-Yamabe soliton, whose potential vector field is torse forming. Here, we have characterized conformal Yamabe soliton admitting potential vector field as torse forming with respect to Riemannian connection, semi-symmetric metric connection and projective semi-symmetric connection on ...
Roy, Soumendu +2 more
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