Results 11 to 20 of about 826 (116)
Yamabe and Quasi-Yamabe Solitons on Euclidean Submanifolds [PDF]
Mediterranean 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
openaire +5 more sources
Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds
Advances in Mathematical Physics, 2022 In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if
Abdul Haseeb, Meraj Ali Khan
doaj +2 more sources
Almost Ricci–Yamabe solitons on almost Kenmotsu manifolds
Asian-European Journal of Mathematics, 2023 This paper 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 [Formula: see text]-Einstein is established. We also show that an ARYS on Kenmotsu manifold becomes a Ricci–Yamabe soliton under certain restrictions.
Mohan Khatri, Jay Prakash Singh
openaire +4 more sources
Journal of MathematicsThis paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we ...
Mohammad Nazrul Islam Khan +2 more
doaj +2 more sources
A New Class of Almost Ricci Solitons and Their Physical Interpretation. [PDF]
Int Sch Res Notices, 2016 We establish a link between a connection symmetry, called conformal collineation, and almost Ricci soliton (in particular Ricci soliton) in reducible Ricci symmetric semi‐Riemannian manifolds. As a physical application, by investigating the kinematic and dynamic properties of almost Ricci soliton manifolds, we present a physical model of imperfect ...
Duggal KL.
europepmc +2 more sources
Some characterizations of quasi Yamabe solitons
Journal of Geometry, 2022 10 ...
Shaikh, Absos Ali, Mandal, Prosenjit
openaire +3 more sources
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
openaire +2 more sources
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
On The Existence of Yamabe Gradient Solitons [PDF]
International 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 +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
wiley +1 more source