Results 21 to 30 of about 446 (140)

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   +1 more source

A Note on LP-Kenmotsu Manifolds Admitting Conformal Ricci-Yamabe Solitons

open access: yesInternational Journal of Analysis and Applications, 2023
In the current note, we study Lorentzian para-Kenmotsu (in brief, LP-Kenmotsu) manifolds admitting conformal Ricci-Yamabe solitons (CRYS) and gradient conformal Ricci-Yamabe soliton (gradient CRYS).
Mobin Ahmad   +2 more
doaj   +1 more source

On harmonic and biharmonic maps from gradient Ricci solitons

open access: yesMathematische 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

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

Certain results on Kenmotsu manifolds

open access: yesCumhuriyet Science Journal, 2020
In this paper, we focus on Kenmotsu manifolds. Firstly, we investigate almost quasi Ricci symmetric Kenmotsu manifolds. Then, we study Kenmotsu manifold admitting a Yamabe soliton. We find that if the soliton field of the Yamabe soliton is orthogonal to
Halil İbrahim Yoldaş
doaj   +1 more source

Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric

open access: yesInternational Journal of Analysis and Applications, 2023
The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds.
Sunil Kumar Yadav   +2 more
doaj   +1 more source

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

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

Kenmotsu 3-manifolds and gradient solitons

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature ...
F. Mofarreh, U.C. De
doaj   +1 more source

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