Results 21 to 30 of about 102,163 (136)

Souplet–Zhang and Hamilton‐type gradient estimates for non‐linear elliptic equations on smooth metric measure spaces

open access: yesMathematika, 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
wiley   +1 more source

Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds

open access: yesAdvances 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
wiley   +1 more source

Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons

open access: yesAxioms, 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
doaj   +1 more source

Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields

open access: yesMathematics, 2023
The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi   +2 more
doaj   +1 more source

Sasakian Manifolds Admitting ∗‐η‐Ricci‐Yamabe Solitons

open access: yesAdvances 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
wiley   +1 more source

Conformal Yamabe soliton and * -Yamabe soliton with torse forming potential vector field

open access: yes, 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
openaire   +3 more sources

On Three-Dimensional CR Yamabe Solitons [PDF]

open access: yesThe 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
openaire   +2 more sources

On the $h$-Almost Yamabe Soliton

open access: yesJournal of Mathematical Study, 2021
global FanqiZeng
openaire   +2 more sources

η-Ricci Yamabe soliton on LP-Sasakian manifolds

open access: yesJournal of Mathematics and Computer Science, 2021
The objective of the present paper is to carry out η-Ricci Yamabe soliton on LP-Sasakian manifolds satisfying certain curvature conditions R(ζ ,U1)· S = 0 and S(ζ ,U1)·R = 0.
G. S. Shivaprasanna   +3 more
semanticscholar   +1 more source

Study on Twisted Product Almost Gradient Yamabe Solitons

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we first study gradient Yamabe solitons on the twisted product spaces. Then, we classify and characterize the warped product and twisted product spaces with almost gradient Yamabe solitons. We also study the construction of almost gradient Yamabe solitons in the Riemannian product spaces.
Byung Hak Kim   +3 more
wiley   +1 more source

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