Results 111 to 120 of about 38,409 (231)

Randers Ricci soliton homogeneous nilmanifolds

, 2019
Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant.
Moghaddam, Hamid Reza Salimi
core  

The Soliton-Ricci Flow with variable volume forms

Complex Manifolds, 2016
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
doaj   +1 more source

From Infinitesimal Harmonic Transformations to Ricci Solitons [PDF]

arXiv, 2011
The concept of the Ricci soliton was introduced by Hamilton. Ricci soliton is defined by vector field and it's a natural generalization of Einstein metric. We have shown earlier that the vector field of Ricci soliton is an infinitesimal harmonic transformation.
arxiv  

On the Ricci curvature of steady gradient Ricci solitons

Journal of Mathematical Analysis and Applications, 2010
AbstractAssume (Mn,g) is a complete steady gradient Ricci soliton with positive Ricci curvature. If the scalar curvature approaches 0 towards infinity, we prove that ∫0+∞Rc(γ˙(s),γ˙(s))ds=R(O), where O is the point where R obtains its maximum and γ(s) is a minimal normal geodesic emanating from O.
openaire   +2 more sources

Solenoid Configurations and Gravitational Free Energy of the AdS-Melvin Spacetime. [PDF]

Entropy (Basel), 2021
Lim YK.
europepmc   +1 more source

Infinitesimal rigidity of collapsed gradient steady Ricci solitons in dimension three

, 2014
The only known example of collapsed three-dimensional complete gradient steady Ricci solitons so far is the 3D cigar soliton $N^2\times \mathbb{R}$, the product of Hamilton's cigar soliton $N^2$ and the real line $\mathbb{R}$ with the product metric.
Cao, Huai-Dong, He, Chenxu
core  

η-Ricci Solitons and Gradient Ricci Solitons on f-Kenmotsu Manifolds

Mathematical Physics and Computer Simulation, 2021
The aim of the present research article is to study the f-kenmotsu manifolds admitting the η-Ricci Solitons and gradient Ricci solitons with respect to the semi-symmetric non metric connection.
openaire   +1 more source

Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity. [PDF]

Heliyon, 2021
Al-Haysah AM, Hasmani AH.
europepmc   +1 more source

The Soliton Kähler-Ricci Flow over Fano Manifolds [PDF]

arXiv, 2012
We introduce a flow of K\"ahler structures over Fano manifolds with formal limit at infinite time a K\"ahler-Ricci soliton. This flow correspond to a Perelman's modified backward K\"ahler-Ricci type flow that we call Soliton-K\"ahler-Ricci flow. It can be generated by the Soliton-Ricci flow.
arxiv  

From the Ricci flow evolution equation to vanishing theorems for Ricci solitons [PDF]

arXiv, 2020
In the paper, we study evolution equations of the scalar and Ricci curvatures under the Hamilton's Ricci flow on a closed manifold and on a complete noncompact manifold. In particular, we study conditions when the Ricci flow is trivial and the Ricci soliton is Ricci flat or Einstein.
arxiv