Results 11 to 20 of about 10,189 (207)

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

Some New Characterizations of Trivial Ricci–Bourguignon Solitons

Journal of Mathematics
A Ricci–Bourguignon soliton is a self-similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing.
Hana Al-Sodais, Nasser Bin Turki, Sharief Deshmukh, Bang-Yen Chen, Hemangi Madhusudan Shah   +4 more
doaj   +2 more sources

Characterizations of Trivial Ricci Solitons

Advances in Mathematical Physics, 2020
Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh, Nasser Bin Turki, Hana Alsodais   +2 more
doaj   +3 more sources

Rigidity of gradient Ricci Solitons [PDF]

Pacific Journal of Mathematics, 2007
We define a gradient Ricci soliton to be rigid if it is a flat bundle $% N\times_{\Gamma}\mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all gradient solitons are rigid.
Petersen, Peter, Wylie, William
core   +6 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

Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type

Journal of Mathematics
This paper is devoted to Ricci solitons admitting a Jacobi-type vector field. First, we present some rigidity results for Ricci solitons Mn,g,V,λ admitting a Jacobi-type vector field ξ and provide conditions under which ξ is Killing.
Vahid Pirhadi, Ghodratallah Fasihi-Ramandi, Shahroud Azami   +2 more
doaj   +2 more sources

Generalized Ricci Solitons [PDF]

The Journal of Geometric Analysis, 2015
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Nurowski, Paweł~, Randall, Matthew
openaire   +3 more sources

RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY KENMOTSU MANIFOLDS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this paper, we study nearly Kenmotsu manifolds with Ricci soliton and we obtain certain conditions about curvature tensors.
Ayar, Gülhan, Yıldırım, Mustafa
openaire   +3 more sources

On almost ∗-Ricci soliton

Gulf Journal of Mathematics, 2022
Abstract. In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is Jacobi along Reeb vector field ξ, then g becomes a ∗-Ricci soliton.• If a ...
Kundu, Satyabrota, Halder, S., De, K.
openaire   +1 more source

ON HOMOGENEOUS RICCI SOLITONS [PDF]

The Quarterly Journal of Mathematics, 2013
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.
Lafuente, R., Lauret, J.
openaire   +5 more sources