Results 21 to 30 of about 143 (108)
On warped product gradient Yamabe solitons [PDF]
Journal of Mathematical Analysis and Applications, 2019 14 pages, 1 ...
W. Tokura +3 more
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Some characterizations of gradient Yamabe solitons [PDF]
Journal of Geometry and Physics, 2021 In this article we have proved that a gradient Yamabe soliton satisfying some additional conditions must be of constant scalar curvature. Later, we have showed that in a gradient expanding or steady Yamabe soliton with non-negative Ricci curvature if the potential function satisfies some integral condition then it is subharmonic, in particular, for ...
Absos Ali Shaikh +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
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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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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Sasakian Manifolds Admitting ∗‐η‐Ricci‐Yamabe Solitons
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this note, we characterize Sasakian manifolds endowed with ∗‐η‐Ricci‐Yamabe solitons. Also, the existence of ∗‐η‐Ricci‐Yamabe solitons in a 5‐dimensional Sasakian manifold has been proved through a concrete example.
Abdul Haseeb +3 more
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Almost Ricci-Yamabe soliton on Almost Kenmotsu Manifolds
, 2022 This manuscript examines almost Kenmotsu manifolds (briefly, AKMs) endowed with the almost Ricci-Yamabe solitons (ARYSs) and gradient ARYSs. The condition for an AKM with ARYS to be $\eta$-Einstein is established.
Singh, J. P., Khatri, M.
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Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton
, 2022 The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and conformal η-Ricci–Yamabe metric.
Soumendu Roy +4 more
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Structure of generalized Yamabe solitons and its applications
, 2023 We consider the broadest concept of the gradient Yamabe soliton, the conformal gradient soliton. In this paper, we elucidate the structure of complete gradient conformal solitons under some assumption, and provide some applications to gradient Yamabe ...
Maeta, Shun
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On a classification of the quasi Yamabe gradient solitons [PDF]
Methods and Applications of Analysis, 2014 11 ...
Huang, Guangyue, Li, Haizhong
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