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Some Properties of the Potential Field of an Almost Ricci Soliton [PDF]

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, Blaga Adara M   +2 more
exaly   +4 more sources

∗-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, Dey Santu   +2 more
exaly   +3 more sources

Ricci-Bourguignon Solitons With Certain Applications to Relativity

Journal of Mathematics
This article concerns with the investigation of Ricci-Bourguignon solitons and gradient Ricci-Bourguignon solitons in perfect fluid space-times and generalised Robertson–Walker space-times.
Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De, Yanlin Li   +3 more
doaj   +2 more sources

Geometric Analysis of η-Ricci Bourguignon Solitons on Para-Sasakian Manifolds With Semisymmetric Nonmetric Connection (SSNMC) on the Tangent Bundle

Journal of Mathematics
In this paper, we investigate the geometric properties of η-Ricci–Bourguignon (η-RB) solitons on para-Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Anowar Hussain Sadiyal   +3 more
doaj   +2 more sources

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

Journal of Mathematics
This 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, Lalnunenga Colney, Teg Alam   +2 more
doaj   +2 more sources

Lorentzian Para-Kenmotsu Manifolds Within the Framework of ∗-Conformal η-Ricci Soliton

Journal of Applied Mathematics
The present article intends to study the ∗-conformal η-Ricci soliton on n-LPK (n-dimensional Lorentzian para-Kenmotsu) manifolds with curvature constraints.
Shyam Kishor, Arun Kumar Bhardwaj, Naveen Mani, Rahul Shukla   +3 more
doaj   +2 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   +1 more source

Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds

Universe, 2023
This study aims at examining the effects of an almost Ricci–Bourguignon soliton structure on the base and fiber factor manifolds of a doubly warped product manifold.
Sameh Shenawy, Nasser Bin Turki, Noha Syied, Carlo Mantica   +3 more
doaj   +1 more source

Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

Open Mathematics, 2022
We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin, Dey Santu, Pahan Sampa, Ali Akram   +3 more
doaj   +1 more source

∗-Ricci Tensor on α-Cosymplectic Manifolds

Advances in Mathematical Physics, 2022
In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi, D. G. Prakasha, Nasser Bin Turki, Inan Unal   +3 more
doaj   +1 more source