Results 81 to 90 of about 10,189 (207)

A Study on Contact Metric Manifolds Admitting a Type of Solitons

Journal of Mathematics, Volume 2024, Issue 1, 2024.
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 N(κ)‐contact metric manifolds. It is shown that if a K‐contact manifold admits an η‐Ricci–Bourguignon soliton whose potential vector field ...
Tarak Mandal, Uday Chand De, Meraj Ali Khan, Mohammad Nazrul Islam Khan, Dengfeng Lü   +4 more
wiley   +1 more source

Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds

International Journal of Analysis and Applications, 2017
We study Ricci solitons in (ε,δ)-trans-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a (ε,δ)-trans-Sasakian manifold is a constant multiple of the metric tensor.
C.S. Bagewadi, Gurupadavva Ingalahalli
doaj   +2 more sources

Geometry of Ricci solitons admitting a new geometric vector field [PDF]

AUT Journal of Mathematics and Computing
In the present paper, we introduce a new geometric vector field (it will be called semi-Killing field) on semi-Riemannaian manifolds. A complete classification of semi-Killing vector fields on 3-dimensional Walker manifolds will be derived.
Farzaneh Shamkhali, Ghodratallah Fasihi Ramandi, Shahroud Azami   +2 more
doaj   +1 more source

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

, 2021
Mohd Danish Siddiqi, Mehmet Akif Akyol
openalex   +1 more source

Uniqueness of Kähler-Ricci solitons

Acta Mathematica, 2000
Let \(X\) be a holomorphic vector field on a compact Kähler manifold \((M,\omega)\). Then \(\omega\) is a Kähler-Ricci soliton with respect to \(X\) if \(\text{Ric} (\omega)-\omega=L_X\omega\) where \(\text{Ric} (\omega)\) is the Ricci form and \(L_X\) is the Lie derivative with respect to \(X\).
Tian, Gang, Zhu, Xiaohua
openaire   +2 more sources

Some results of η-Ricci solitons on (LCS)n-manifolds [PDF]

Surveys in Mathematics and its Applications, 2018
In this paper, we consider an η -Ricci soliton on the (LCS)n-manifolds (M, φ , ξ , η , g) satisfying certain curvature conditions likes: R(ξ , X) · S= 0 and W 2(ξ, X) · S=0.
S. K. Yadav, S. K. Chaubey, D. L. Suthar
doaj  

Rigidity of almost Ricci solitons on compact Riemannian manifolds

AIMS Mathematics
Considering an almost Ricci soliton (ARS) $ \left(N, g, \eta, \kappa \right) $ on a compact Riemannian manifold $ (N, g) $, we use the Ricci curvature in the direction of the potential vector field $ \eta $ to derive necessary and sufficient conditions ...
Mohammed Guediri, Norah Alshehri
doaj   +1 more source

On gradient normalized Ricci-harmonic solitons in sequential warped products

AIMS Mathematics
Our investigation involved sequentially warped product manifolds that contained gradient-normalized Ricci-harmonic solitons. We presented the primary connections for a gradient-normalized Ricci-harmonic soliton on sequential warped product manifolds.
Noura Alhouiti , Fatemah Mofarreh , Akram Ali, Fatemah Abdullah Alghamdi   +3 more
doaj   +1 more source

Cohomogeneity one Ricci Solitons from Hopf Fibrations

, 2019
This paper studies cohomogeneity one Ricci solitons. If the isotropy representation of the principal orbit $G/K$ consists of two inequivalent $Ad_K$-invariant irreducible summands, the existence of parameter families of non-homothetic complete steady and
Wink, Matthias
core  

On the Topological Classification of Four-Dimensional Steady Gradient Ricci Solitons with Nonnegative Sectional Curvature

Mathematics
In this paper, we study the topology of steady gradient Ricci solitons with nonnegative sectional curvature. We apply a characterization theorem for the fundamental group of a positively curved steady gradient Ricci soliton that admits a critical point ...
Yuehan Hao
doaj   +1 more source