Results 11 to 20 of about 807,926 (146)

RIGIDITY OF GRADIENT RICCI SOLITONS [PDF]

, 2007
We define a gradient Ricci soliton to be rigid if it is a flat bundle N ×GRk where N is Einstein. It is known that not all gradient solitons are rigid.
Peter Petersen, W. Wylie
semanticscholar   +4 more sources

Four-dimensional gradient Ricci solitons with (half) nonnegative isotropic curvature [PDF]

Journal des Mathématiques Pures et Appliquées
This is a sequel to our paper [24], in which we investigated the geometry of 4-dimensional gradient shrinking Ricci solitons with half positive (nonnegative) isotropic curvature.
Huai-Dong Cao, Junming Xie
semanticscholar   +4 more sources

Hyperbolic conformal Ricci solitons and gradient hyperbolic conformal Ricci solitons on bulk viscous fluid string spacetime

European Physical Journal C: Particles and Fields
We explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi, Amira A. Ishan, Meraj Ali Khan   +2 more
doaj   +2 more sources

Ricci-Bourguignon Solitons With Certain Applications to Relativity

Journal of Mathematics
This article concerns with the investigation of Ricci-Bourguignon solitons and gradient Ricci-Bourguignon solitons in perfect fluid space-times and generalised Robertson–Walker space-times.
Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De, Yanlin Li   +3 more
doaj   +2 more sources

2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi   +2 more
doaj   +2 more sources

Gradient Ricci solitons on multiply warped product manifolds [PDF]

, 2018
We consider gradient Ricci solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Ricci solitons.
Fatma Karaca, C. Özgür
semanticscholar   +2 more sources

Hyperbolic ∗-Ricci Solitons and Gradient Hyperbolic ∗-Ricci Solitons on (ε)-Almost Contact Metric Manifolds of Type (α, β)

Mathematics
In this research paper, we introduce the notions of hyperbolic ∗-Ricci solitons and gradient hyperbolic ∗-Ricci solitons. We study the hyperbolic ∗-Ricci solitons on a three-dimensional ε-trans-Sasakian manifold. Specifically, we determine the hyperbolic
Fatemah Mofarreh, Mohd Danish Siddiqi
doaj   +2 more sources

On Type I singularities in Ricci flow [PDF]

, 2011
07.02.13 KB. Accepted version ok to add to Spiral. IP/Sherpa.We define several notions of singular set for Type I Ricci flows and show that they all coincide.
Topping, P, Enders, J, Müller, R
core   +6 more sources

Existence of singular rotationally symmetric gradient Ricci solitons in higher dimensions [PDF]

Canadian mathematical bulletin, 2021
By using fixed point argument, we give a proof for the existence of singular rotationally symmetric steady and expanding gradient Ricci solitons in higher dimensions with metric $g=\frac {da^2}{h(a^2)}+a^2g_{S^n}$ for some function h where $g_{S^n ...
Kin-Ming Hui
semanticscholar   +1 more source

On four-dimensional steady gradient Ricci solitons that dimension reduce [PDF]

Advances in Mathematics, 2020
In this paper, we will study the asymptotic geometry of 4-dimensional steady gradient Ricci solitons under the condition that they dimension reduce to $3$-manifolds.
B. Chow, Yu-Xing Deng, Zilu Ma
semanticscholar   +1 more source