Results 1 to 10 of about 301,190 (180)

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

open access: yesFrontiers 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
exaly   +4 more sources

f– Kenmotsu Metric as Conformal Ricci Soliton

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.
Nagaraja H. G., Venu K.
doaj   +4 more sources

Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold

open access: yesUniverse, 2022
In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci ...
Santu Dey   +2 more
exaly   +2 more sources

A note on gradient Ricci soliton warped metrics [PDF]

open access: yesMathematische Nachrichten, 2021
In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of gradient Ricci solitons that are realized as warped products, from which we know that the base spaces of these ...
José N V Gomes, Marcus Marrocos
exaly   +2 more sources

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

open access: yesKarpatsʹkì 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   +2 more sources

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

open access: yesJournal 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   +3 more
doaj   +2 more sources

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

open access: yesJournal 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   +2 more
doaj   +2 more sources

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

open access: yesJournal 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   +3 more
doaj   +2 more sources

Some Properties of the Potential Field of an Almost Ricci Soliton

open access: yesMathematics
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-Monica Blaga, Sharief Deshmukh
exaly   +3 more sources

The existence of the Kähler–Ricci soliton degeneration [PDF]

open access: yesForum of Mathematics, Pi, 2021
We prove an algebraic version of the Hamilton–Tian conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a Kähler–Ricci soliton ...
H. Blum   +3 more
semanticscholar   +1 more source

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