Results 31 to 40 of about 143 (108)

Geometry of $*$-$k$-Ricci-Yamabe soliton and gradient $*$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds

Hacettepe Journal of Mathematics and Statistics, 2021
arXiv admin note: text overlap with arXiv:2105.11142, arXiv:2105.13885, arXiv:2109 ...
Dey, Santu, Roy, Soumendu
openaire   +4 more sources

Conformal quasi-Yamabe soliton and conformal gradient quasi-Yamabe soliton on 3-dimensional trans-Sasakian manifold [PDF]

In the framework of a three-dimensional trans-Sasakian manifold, the main objective of the present paper is to provide a complete analysis of conformal quasi-Yamabe soliton as well as conformal gradient quasi-Yamabe soliton.
Anirban Mandal, Arindam Bhattacharyya, Kalyan Halder   +2 more
core   +1 more source

Perfect fluid spacetimes and $k$-almost Yamabe solitons

, 2023
In this article, we presumed that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations.
De, Krishnendu, UDAY CHAND DE, KRISHNENDU DE, De, Uday Chand, GEZER, Aydın, AYDIN GEZER   +5 more
core   +1 more source

On the Existence and Classification of k-Yamabe Gradient Solitons

The Journal of Geometric Analysis
In this paper we classify rotationally symmetric conformally flat admissible solitons to the $k$-Yamabe flow, a fully non-linear version of the Yamabe flow. For $n\geq 2k$ we prove existence of complete expanding, steady and shrinking solitons and describe their asymptotic behavior at infinity.
Maria Fernanda Espinal, Mariel Sáez
openaire   +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, Volume 2026, Issue 1, 2026.
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 relations, Ricci identities, Ricci flow, and the corresponding η‐RB soliton equations for the ...
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Anowar Hussain Sadiyal, Smritijit Sen   +4 more
wiley   +1 more source

Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in paracontact geometry

, 2022
The purpose of the present paper is to investigate the almost quasi-Yamabe soliton and gradient almost quasi-Yamabe solitons under the framework ofthree-dimensional normal almost paracontact metric ...
Krishnendu, De, Uday Chand, De
core  

Geometry of α-Cosymplectic Metric as ∗-Conformal η-Ricci–Yamabe Solitons Admitting Quarter-Symmetric Metric Connection

, 2021
The outline of this research article is to initiate the development of a ∗-conformal η-Ricci–Yamabe soliton in α-Cosymplectic manifolds according to the quarter-symmetric metric connection.
Soumendu Roy, Santu Dey, Pengfei Zhang, Yanlin Li   +3 more
core   +1 more source

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

Journal of Mathematics, Volume 2026, Issue 1, 2026.
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‐Ricci solitons in the lifted setting.
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Murat Altunbaş   +3 more
wiley   +1 more source

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

Journal of Mathematics, Volume 2026, Issue 1, 2026.
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 derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan, Lalnunenga Colney, Teg Alam, Pramita Mishra   +3 more
wiley   +1 more source

Solitons de Yamabe e métricas CPE [PDF]

, 2015
Tese (doutorado)—Universidade de Brasília, Instituto de Ciências Exatas, Programa de Pós-Graduação em Matemática, 2015.Provamos que (anti)self dual solitons gradientes (quasi) Yamabe com curvatura seccional positiva são rotacionais simétricos. Além disso,
Leandro Neto, Benedito
core   +1 more source