Results 111 to 120 of about 420 (130)

On Gradient Ricci-Yamabe Solitons

Iranian Journal of Science
In this paper, we establish some necessary and sufficient conditions for multiply warped product manifolds admitting a gradient Ricci-Yamabe soliton. For this purpose, the potential function of this soliton and the conditions that must be satisfied for each component of the multiply warped product manifold are investigated.
Karaca, Fatma, Güler, Sinem, Güler, Sinem   +2 more
openaire   +3 more sources

SOME GAP THEOREMS FOR GRADIENT RICCI SOLITONS

International Journal of Mathematics, 2012
Necessary and sufficient conditions for a gradient Ricci soliton to be Einstein are given, showing that they can be expressed in terms of upper and lower bounds on the behavior of the Ricci tensor when evaluated on the gradient of the potential function of the soliton.
Fernández-López, Manuel, García-Río, Eduardo   +1 more
openaire   +2 more sources

On the Rigidity of Gradient Ricci Solitons

2015
A complete Riemannian manifold (M, g) is said to be a gradient Ricci soliton if there exists a smooth function \(f: M \rightarrow \mathbb{R}\) such that \(\displaystyle{ Rc + H_{f} =\lambda g, }\) where Rc denotes the Ricci tensor, H f is the Hessian of the function f, and \(\lambda\) is a real number.
Manuel Fernández-López, Eduardo García-Río   +1 more
openaire   +1 more source

On Gradient Shrinking and Expanding Kähler–Ricci Solitons

Mediterranean Journal of Mathematics, 2021
In this paper, the author proves three theorems about gradient shrinking and expanding Kähler-Ricci solitons. The first theorem says that a compact gradient shrinking Kähler-Ricci soliton with subharmonic scalar curvature is Kähler-Einstein. The proof goes as follows: since it is known that the scalar curvature \(R\) of a gradient shrinking soliton is ...
openaire   +2 more sources

3D Steady Gradient Ricci Solitons

Surveys in Differential Geometry, 2022
openaire   +1 more source

A note on the triviality of gradient solitons of the Ricci–Bourguignon flow

Archiv Der Mathematik, 2022
Antonio W Cunha, Eudes L de Lima, Henrique F de Lima   +2 more
exaly  

η-∗-Ricci Solitons and Almost co-Kähler Manifolds

Mathematics, 2021
Arpan Sardar, Mohammad Nazrul Islam Khan, Uday Chand De   +2 more
exaly  

On harmonic and biharmonic maps from gradient Ricci solitons

Mathematische Nachrichten, 2023
Volker Branding
exaly  

Locally Conformally Flat Lorentzian Gradient Ricci Solitons

Journal of Geometric Analysis, 2011
M Brozos-Vázquez, Eduardo Garcia-Rio, Garcia-Rio E   +2 more
exaly  

On Shrinking Gradient Ricci Solitons with Positive Ricci Curvature and Small Weyl Tensor

Acta Mathematica Scientia, 2019
Chih-Wei Chen, Chen Chih-Wei
exaly