Results 31 to 40 of about 550 (112)
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
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
wiley +1 more source
Gradient Yamabe Solitons on Multiply Warped Product Manifolds
International Electronic Journal of Geometry, 2019 Summary: We consider gradient Yamabe solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Yamabe solitons.
Fatma Karaca
openalex +5 more sources
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
wiley +1 more source
On the scalar curvature estimates for gradient Yamabe solitons [PDF]
Kodai Mathematical Journal, 2013 Let (Mn,g) be a gradient Yamabe soliton Rg + Hess f = λg with Ricf1 ≥ K (see (1.3) for f1) and λ, K $in$ R are constants. In this paper, it is showed that for gradient shrinking Yamabe solitons, the scalar curvature R > 0 unless R ≡ 0 and (Mn,g) is the Gaussian soliton, and for gradient steady and expanding Yamabe solitons, R > λ unless R ≡ λ and (Mn,g)
Yawei Chu, Xue Wang
openalex +3 more sources
Integral pinched shrinking Ricci solitons [PDF]
, 2015 We prove that a $n$-dimensional, $4 \leq n \leq 6$, compact gradient shrinking Ricci soliton satisfying a $L^{n/2}$-pinching condition is isometric to a quotient of the round $\mathbb{S}^{n}$.
Catino, Giovanni
core +1 more source
, 2015 Cotton flow tends to evolve a given initial metric on a three manifold to a conformally flat one. Here we expound upon the earlier work on Cotton flow and study the linearized version of it around a generic initial metric by employing a modified form of ...
Dengiz, Suat +2 more
core +3 more sources
A note on (anti-)self dual quasi Yamabe gradient soliton [PDF]
Results in Mathematics, 2015 In this note we prove that a (anti-)self dual quasi Yamabe soliton with positive sectional curvature is rotationally symmetric. This generalizes a recent result of G. Huang and H. Li in dimension four. Whence, (anti-) self dual gradient Yamabe solitons with positive sectional curvature is rotationally symmetric. We also prove that half conformally flat
Neto, Benedito Leandro
openalex +4 more sources
Remarks on the Warped Product Structure from the Hessian of a Function
Mathematics, 2018 The warped product structure of a gradient Yamabe soliton and a Ricci soliton with a concircular potential field is proved in another way.
Jong Ryul Kim
doaj +1 more source
An Introduction to Conformal Ricci Flow [PDF]
, 2003 We introduce a variation of the classical Ricci flow equation that modifies the unit volume constraint of that equation to a scalar curvature constraint.
Anderson M +43 more
core +1 more source