Results 131 to 140 of about 240 (146)

On gradient Ricci solitons conformal to a pseudo-Euclidean space

Israel Journal of Mathematics, 2014
The article under review is devoted to particular gradient Ricci solitons. By definition, a semi-Riemannian manifold \((M^n, g)\), \(n\geq 3\), is called a gradient Ricci soliton, if there exists a smooth function \(f:M^n\to \mathbb R\), called a potential function, such that \[ \mathrm{Ric}_g + \mathrm{Hess}_g (f) = \rho g, \] where \(\mathrm{Ric}_g\)
Ezequiel Barbosa, Romildo Pina, Keti Tenenblat   +2 more
exaly   +3 more sources

Conformally Flat Algebraic Ricci Solitons on Lie Groups

Mathematical Notes, 2018
A Ricci soliton is a pseudo-Riemannian manifold \((M,g)\) which admits a smooth vector field \(X\) on \(M\) such that \[ r=\Lambda g+L_{X}g \] where \(L_{X}\) denotes the Lie derivative in the direction of \(X\), \(r\) denotes the Ricci tensor and \(\Lambda\) is a real number (\(\Lambda =\frac{1}{n}\left( 2\mathrm{div}(X)+S\right)\), where \(n=\dim M\)
openaire   +2 more sources

Almost conformal Ricci solitons on \(f\)-Kenmotsu manifolds

2019
Summary: The object of the present paper is to study the \(\phi\)-Ricci symmetric, locally \(\phi\)-Ricci symmetric and cyclic Ricci parallel three-dimensional \(f\)-Kenmotsu manifold bearing the function \(f\) being constant. We have considered almost conformal Ricci soliton on the three-dimensional \(f\)-Kenmostu manifold and deduced the condition ...
Hui, Shyamal, Yadav, Sunil, Patra, Akshoy   +2 more
openaire   +2 more sources

Geometry of almost conformal Ricci solitons on weakly Ricci symmetric spacetime

Reviews in Mathematical Physics
The aim of this paper is to study geometrical aspects of the almost conformal Ricci solitons on weakly Ricci symmetric perfect fluid spacetime obeying Einstein field equations. Among others, we first find the soliton constant and cosmological constant in weakly Ricci symmetric spacetime.
Tarun Saxena, Akhilesh Yadav
openaire   +1 more source

Conformal η-Ricci–Bourguignon soliton in general relativistic spacetime

International Journal of Geometric Methods in Modern Physics
In this research paper, we determine the nature of conformal [Formula: see text]-Ricci–Bourguignon soliton on a general relativistic spacetime with torse forming potential vector field. Besides this, we evaluate a specific situation of the soliton when the spacetime admitting semi-symmetric energy–momentum tensor with respect to conformal [Formula ...
Santu Dey, Shyamal Kumar Hui, Soumendu Roy, Ali H. Alkhaldi   +3 more
openaire   +2 more sources

A study of conformal almost Ricci solitons on Kenmotsu manifolds

International Journal of Geometric Methods in Modern Physics, 2023
Sumanjit Sarkar, Santu Dey, Arindam Bhattacharyya   +2 more
exaly  

Conformal $ \eta $-Ricci solitons within the framework of indefinite Kenmotsu manifolds

AIMS Mathematics, 2022
Yanlin Li, Dipen Ganguly, Santu Dey
exaly  

Ricci Solitons in Kenmotsu Manifold under Generalized D-Conformal Deformation

Lobachevskii Journal of Mathematics, 2019
H G Nagaraja
exaly  

Almost conformal Ricci solitons on generalized Robertson–Walker space-times

2023
Sunil Kumar Yadav, D L Suthar, Sudhakar Kumar Chaubey   +2 more
exaly  

CONFORMAL RICCI SOLITON ON ALMOST CO-KÄHLER MANIFOLD

Advances in Mathematics: Scientific Journal, 2020
D. Ganguly, A. Bhattacharyya
openaire   +1 more source