Results 1 to 10 of about 187,573 (269)
Expanding Ricci solitons with pinched Ricci curvature [PDF]
arXiv, 2010 In this paper, we prove that expanding gradient Ricci solitons with (positively) pinched Ricci curvature are trivial ones. Namely, they are either compact or flat.
Li Ma
arxiv +7 more sources
On homogeneous Ricci solitons [PDF]
arXiv, 2012 We study the evolution of homogeneous Ricci solitons under the bracket flow, a dynamical system on the space of all homogeneous spaces of dimension n with a q-dimensional isotropy, which is equivalent to the Ricci flow for homogeneous manifolds. We prove that algebraic solitons (i.e.
R Lafuente, Jorge Lauret
arxiv +9 more sources
Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
doaj +2 more sources
Remarks on Gradient Ricci Solitons [PDF]
arXiv, 2004 In this paper, we study the gradient Ricci soliton equation on a complete Riemannian manifold. We show that under a natural decay condition on the Ricci curvature, the Ricci soliton is Ricci-flat and ALE.
Li Ma
arxiv +3 more sources
Geometric Classifications of Perfect Fluid Space-Time Admit Conformal Ricci-Bourguignon Solitons
Journal of MathematicsThis paper is dedicated to the study of the geometric composition of a perfect fluid space-time with a conformal Ricci-Bourguignon soliton, which is the extended version of the soliton to the Ricci-Bourguignon flow.
Noura Alhouiti +5 more
doaj +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 +2 more sources
A Study on Contact Metric Manifolds Admitting a Type of Solitons
Journal of MathematicsThe 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 Nκ-contact metric manifolds.
Tarak Mandal +3 more
doaj +2 more sources
The existence of the Kähler–Ricci soliton degeneration [PDF]
Forum of Mathematics, Pi, 2021 We prove an algebraic version of the Hamilton–Tian conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a Kähler–Ricci soliton ...
Harold Blum +3 more
semanticscholar +1 more source
Riemannian maps whose base manifolds admit a Ricci soliton [PDF]
Publicationes mathematicae (Debrecen), 2021 In this paper, we study Riemannian maps whose base manifolds admit a Ricci soliton and give a non-trivial example of such Riemannian maps. First, we find Riemannian curvature tensor of base manifolds for Riemannian map $F$.
A. Yadav, Kiran Meena
semanticscholar +1 more source
Ricci Soliton of CR-Warped Product Manifolds and Their Classifications
Symmetry, 2023 In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between the gradient and Laplacian of the warping function and second fundamental form.
Yanlin Li +4 more
semanticscholar +1 more source