Results 31 to 40 of about 2,635 (149)

Gradient Kähler–Ricci solitons and periodic orbits [PDF]

Communications in Analysis and Geometry, 2000
We study Hamiltonian dynamics of gradient Kaehler-Ricci solitons that arise as limits of dilations of singularities of the Ricci flow on compact Kaehler manifolds. Our main result is that the underlying spaces of such gradient solitons must be Stein manifolds.
Cao, Huai-Dong, Hamilton, Richard S.
openaire   +3 more sources

Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]

AUT Journal of Mathematics and Computing
In this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
doaj   +1 more source

Ricci almost solitons [PDF]

, 2010
We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates and isolation phenomena, and we investigate some topological properties.
Alberto, G. Setti, Marco Rigoli, Michele Rimoldi, Stefano Pigola   +4 more
core   +3 more sources

Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]

Arab Journal of Mathematical Sciences
Purpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri, Jay Prakash Singh
doaj   +1 more source

Volume Growth Estimates of Gradient Ricci Solitons

The Journal of Geometric Analysis, 2022
AbstractIn this paper, we survey the volume growth estimates for shrinking, steady, and expanding gradient Ricci solitons. Together with the known results, we also prove some new volume growth estimates for expanding gradient Ricci solitons.
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
openaire   +2 more sources

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

Facta Universitatis, Series: Mathematics and Informatics, 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. We shown that a symmetric second order covariant tensor in a $\delta$-Lorentzian trans-Sasakian manifold is a constant multiple of metric tensor.
Siddiqi, Mohd Danish, Akyol, Mehmet Akif
openaire   +2 more sources

Global symplectic coordinates on gradient Kähler–Ricci solitons [PDF]

Monatshefte für Mathematik, 2012
8 ...
Loi, Andrea, ZEDDA, MICHELA
openaire   +4 more sources

Gradient Ricci Bourguignon solitons on perfect fluid space-times [PDF]

Journal of Mahani Mathematical Research
The main purpose of the present paper is about characterizing the properties of the perfect fluid space-time that admits the gradient Ricci-Bourguignon soliton. This gives some results about the stability of the energy-momentum tensor and also under some
Sakineh Hajiaghasi, Shahroud Azami
doaj   +1 more source

Soliton-Type Equations on a Riemannian Manifold

Mathematics, 2022
We study some particular cases of soliton-type equations on a Riemannian manifold. We give an estimation of the first nonzero eigenvalue of the Laplace operator and provide necessary and sufficient conditions for the manifold to be isometric to a sphere.
Nasser Bin Turki, Adara M. Blaga, Sharief Deshmukh   +2 more
doaj   +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