Results 1 to 10 of about 643 (106)

Yamabe and Quasi-Yamabe Solitons on Euclidean Submanifolds [PDF]

open access: yesMediterranean Journal of Mathematics, 2018
In this paper we initiate the study of Yamabe and quasi-Yamabe solitons on Euclidean submanifolds whose soliton fields are the tangential components of their position vector fields. Several fundamental results of such solitons were proved. In particular, we classify such Yamabe and quasi-Yamabe solitons on Euclidean hypersurfaces.
Bang-Yen Chen, Sharief Deshmukh
exaly   +4 more sources

Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds

open access: yesJournal of Mathematics, 2022
In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim   +3 more
doaj   +2 more sources

On The Existence of Yamabe Gradient Solitons [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2018
The Yamabe soliton is a special soliton of Yamabe flow obtained by R. S. Hamilton, which was formulated due to Yamabe formula introduced by H. Yamabe in 1960. Recently Cao, Sun and Zhang introduced Yamabe gradient soliton. In this paper, the existence of
Yadab Chandra Mandal, Shyamal Kumar Hui
doaj   +2 more sources

Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]

open access: yesArab Journal of Mathematical Sciences
Purpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri
exaly   +2 more sources

Some characterizations of quasi Yamabe solitons

open access: yesJournal of Geometry, 2022
10 ...
Absos Ali Shaikh, Prosenjit Mandal
exaly   +4 more sources

On the gradient Finsler Yamabe solitons [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2020
Here, it is proved that the potential functions of Finsler Yamabe solitons have at most quadratic growth in distance function. Also it is obtained a finite topological type property on complete gradient Finsler Yamabe solitons under suitable scalar ...
Mohamad Yar Ahmadi
doaj   +2 more sources

Quasi-Yamabe solitons and almost quasi-Yamabe solitons on lightlike hypersurfaces

open access: yesFilomat, 2022
In the present paper, we study the quasi-Yamabe solitons and almost quasi-Yamabe solitons on the lightlike hypersurfaces of the semi-Riemannian manifolds endowed with a torse-forming vector field. We show some conditions for the lightlike hypersurfaces to be quasi-Yamabe solitons and almost quasi- Yamabe solitons with the tangential ...
Sujit GHOSH, U.c. DE, Ahmet YILDIZ
  +8 more sources

Characterization of Almost Yamabe Solitons and Gradient Almost Yamabe Solitons with Conformal Vector Fields [PDF]

open access: yesSymmetry, 2021
In this paper, some sufficient conditions of almost Yamabe solitons are established, such that the solitons are Yamabe metrics, by which we mean metrics of constant scalar curvature. This is achieved by imposing fewer topological constraints. The properties of the conformal vector fields are exploited for the purpose of establishing various necessary ...
Ali H. Alkhaldi   +3 more
openaire   +1 more source

Some results on $\eta$-Yamabe solitons in 3-dimensional trans-Sasakian manifold

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The object of the present paper is to study some properties of 3-dimensional trans-Sasakian manifold whose metric is $\eta$-Yamabe soliton. We have studied here some certain curvature conditions of 3-dimensional trans-Sasakian manifold admitting $\eta ...
S. Roy, S. Dey, A. Bhattacharyya
doaj   +1 more source

η-Ricci–Yamabe Solitons along Riemannian Submersions

open access: yesAxioms, 2023
In this paper, we investigate the geometrical axioms of Riemannian submersions in the context of the η-Ricci–Yamabe soliton (η-RY soliton) with a potential field.
Mohd Danish Siddiqi   +3 more
doaj   +1 more source

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