Results 31 to 40 of about 802,509 (175)

Isometry theorem of gradient Shrinking Ricci solitons [PDF]

Journal of Geometry and Physics, 2021
In this paper, we have proved that if a complete conformally flat gradient shrinking Ricci soliton has linear volume growth or the scalar curvature is finitely integrable and also the reciprocal of the potential function is subharmonic, then the manifold is isometric to the Euclidean sphere.
Shaikh, Absos Ali, Mondal, Chandan Kumar
openaire   +3 more sources

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

On Bach-flat gradient shrinking Ricci solitons [PDF]

, 2012
In this paper, we classify n-dimensional (n>3) complete Bach-flat gradient shrinking Ricci solitons. More precisely, we prove that any 4-dimensional Bach-flat gradient shrinking Ricci soliton is either Einstein, or locally conformally flat hence a finite
Chen, Qiang, Cao, Huai-Dong, Huai-dong Cao, Qiang Chen   +3 more
core   +2 more sources

On Complete Gradient Steady Ricci Solitons with Vanishing D-tensor [PDF]

, 2020
In this paper, we extend the work of Cao-Chen [9] on Bach-flat gradient Ricci solitons to classify $n$-dimensional ($n\ge 5$) complete $D$-flat gradient steady Ricci solitons.
Cao, Huai-Dong, Yu, Jiangtao
core   +2 more sources

Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold

Karpatsʹkì Matematičnì Publìkacìï, 2019
First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
doaj   +1 more source

On the classification of gradient Ricci solitons [PDF]

Geometry & Topology, 2010
14 pages. case.
Petersen, Peter, Wylie, William
openaire   +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

A spinorial energy functional: Critical points and gradient flow [PDF]

, 2012
On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dimM C 3, are precisely the pairs (g,φ) consisting of a Ricci-flat Riemannian metric g together with a parallel g-spinor φ.
Hartmut Weiss, Ammann, Bernd, Bernd Ammann, Weiss, Hartmut, Frederik Witt, Witt, Frederik   +5 more
core   +1 more source

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

Compactness theorems for gradient Ricci solitons [PDF]

Journal of Geometry and Physics, 2006
21pages
openaire   +3 more sources