Results 11 to 20 of about 2,503 (97)

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

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

A Study on Contact Metric Manifolds Admitting a Type of Solitons

open access: yesJournal of Mathematics
The principal aim of the present article is to characterize certain properties of η-Ricci–Bourguignon solitons on three types of contact manifolds, that are K-contact manifolds, κ,μ-contact metric manifolds, and Nκ-contact metric manifolds.
Tarak Mandal   +3 more
doaj   +2 more sources

Curvature and Solitonic Structures of Para-Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

open access: yesJournal of Mathematics
This paper investigates the complete lift of para-Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η ...
Lalnunenga Colney   +2 more
doaj   +2 more sources

Ricci solitons in three-dimensional paracontact geometry [PDF]

open access: yes, 2014
We completely describe paracontact metric three-manifolds whose Reeb vector field satisfies the Ricci soliton equation. While contact Riemannian (or Lorentz\-ian) Ricci solitons are necessarily trivial, that is, $K$-contact and Einstein, the paracontact ...
Calvaruso, Giovanni, Perrone, Antonella
core   +1 more source

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

open access: yesOpen Mathematics, 2023
The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin   +4 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

Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory

open access: yesMathematics, 2023
A solution to an evolution equation that evolves along symmetries of the equation is called a self-similar solution or soliton. In this manuscript, we present a study of η-Ricci solitons (η-RS) for an interesting manifold called the (ε)-Kenmotsu manifold
Ali H. Hakami   +3 more
doaj   +1 more source

η-Ricci Solitons on Sasakian 3-Manifolds

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip   +2 more
doaj   +1 more source

Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-η-Ricci Solitons

open access: yesAxioms, 2023
The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of 🟉-η-
Halil İbrahim Yoldaş   +2 more
doaj   +1 more source

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