Results 61 to 70 of about 807,926 (146)

Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds

Advances in Mathematical Physics, 2022
In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if
Abdul Haseeb, Meraj Ali Khan
doaj   +1 more source

ζ-Conformally Flat LP-Kenmotsu Manifolds and Ricci–Yamabe Solitons

Mathematics, 2022
In the present paper, we characterize m-dimensional ζ-conformally flat LP-Kenmotsu manifolds (briefly, (LPK)m) equipped with the Ricci–Yamabe solitons (RYS) and gradient Ricci–Yamabe solitons (GRYS).
Abdul Haseeb, Mohd Bilal, Sudhakar K. Chaubey, Abdullah Ali H. Ahmadini   +3 more
doaj   +1 more source

ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS

, 2011
In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature.
ZHOU ZHANG, BIAO WANG, XIAODONG CAO
core   +1 more source

$\eta$-RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON $\delta$- LORENTZIAN TRANS-SASAKIAN MANIFOLDS

, 2021
The objective of the present research article is to study the $\delta$-Lorentzian trans-Sasakian manifolds conceding the $\eta$-Ricci solitons and gradient Ricci soliton.
Siddiqi, Mohd Danish, Akyol, Mehmet Akif
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

A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton   without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
doaj   +1 more source

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

Open 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, Patra Dhriti Sundar, Alluhaibi Nadia, Mofarreh Fatemah, Ali Akram   +4 more
doaj   +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

Geometric Characterizations of Riemann Solitons

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we find the geometric characterizations of Riemann solitons within the background of co‐Kähler manifolds admitting semisymmetric metric ζ‐connection. Let (g, V) be a Riemann soliton on a co‐Kähler manifold M admitting a semisymmetric metric ζ‐connection.
Abdul Haseeb, Meraj Ali Khan, D. G. Prakasha, T. Manjula, Murat Altunbaş   +4 more
wiley   +1 more source

Miao-Tam Equation and Ricci Solitons on Three-Dimensional Trans-Sasakian Generalized Sasakian Space-Forms

Universal Journal of Mathematics and Applications
The aim of the present article is to characterize some properties of the Miao-Tam equation on three-dimensional generalized Sasakian space-forms with trans-Sasakian structures.
Tarak Mandal, Avijit Sarkar, Uday Chand De   +2 more
doaj   +1 more source