Results 11 to 20 of about 157 (140)

∗-η-Ricci Soliton and Gradient Almost ∗-η-Ricci Soliton Within the Framework of Para-Kenmotsu Manifolds

Frontiers in Physics, 2022
The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
doaj   +3 more sources

A study on conformal Ricci solitons and conformal Ricci almost solitons within the framework of almost contact geometry

Karpatsʹkì Matematičnì Publìkacìï, 2023
The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
doaj   +2 more sources

Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]

Heliyon
This paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman, Aydin Gezer, Mohammad Nazrul Islam Khan, Sedanur Ucan   +3 more
doaj   +2 more sources

Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold

Karpatsʹkì Matematičnì Publìkacìï, 2019
First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
doaj   +5 more sources

*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds

Open Mathematics, 2019
Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
Dai Xinxin, Zhao Yan, Chand De Uday
doaj   +2 more sources

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

Arab 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, Jay Prakash Singh
doaj   +3 more sources

Some Properties of the Potential Field of an Almost Ricci Soliton

Mathematics
In this article, we are interested in finding necessary and sufficient conditions for a compact almost Ricci soliton to be a trivial Ricci soliton. As a first result, we show that positive Ricci curvature and, for a nonzero constant c, the integral of ...
Adara M. Blaga, Sharief Deshmukh
doaj   +3 more sources

Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]

AUT Journal of Mathematics and Computing, 2023
In this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
doaj   +2 more sources

Almost Pure Metric Plastic Structures and Ricci Solitons on Four-Dimensional Pseudo-Riemannian Manifolds

Journal of Function Spaces
This paper investigates four-dimensional almost pure metric plastic manifolds equipped with a specific class of tensor fields known as almost plastic structures.
Aydin Gezer, Sedanur Ucan, Cagri Karaman
doaj   +2 more sources

On a Class of Gradient Almost Ricci Solitons [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2020
In this study, we provide some classifications for half-conformally flat gradient $f$-almost Ricci solitons, denoted by $(M, g, f)$, in both Lorentzian and neutral signature. First, we prove that if $||\nabla f||$ is a non-zero constant, then $(M, g, f)$ is locally isometric to a {warped product} of the form $I \times_φ N$, where $I \subset \mathbb{R}$
Güler, Sinem, Güler, Sinem
openaire   +2 more sources