Results 1 to 10 of about 184,787 (263)

∗-Ricci Soliton within the frame-work of Sasakian and (κ,μ)-contact manifold

, 2018
We prove that if a Sasakian metric is a *-Ricci Soliton, then it is either positive Sasakian, or null-Sasakian. Next, we prove that if a complete Sasakian metric is an almost gradient *-Ricci Soliton, then it is positive-Sasakian and isometric to a unit ...
Amalendu Ghosh, D. Patra
semanticscholar   +1 more source

Rigidity of Finsler gradient steady Ricci soliton

Calculus of Variations and Partial Differential Equations, 2023
Hongmei Zhu, Peijuan Rao
semanticscholar   +1 more source

Extremals of Log Sobolev inequality on non-compact manifolds and Ricci soliton structures

Calculus of Variations and Partial Differential Equations, 2016
In this paper we establish the existence of extremals for the Log Sobolev functional on complete non-compact manifolds with Ricci curvature bounded from below and strictly positive injectivity radius, under a condition near infinity.
M. Rimoldi, G. Veronelli
semanticscholar   +1 more source

K-contact and (k, μ)-contact metric as a generalized η-Ricci soliton

, 2023
Amalendu Ghosh
semanticscholar   +1 more source

Applications to Ricci Solitons

2016
In this chapter we apply maximum principles techniques to the study of the geometry of Ricci solitons. Ricci solitons have become the subject of a rapidly increasing investigation since the appearance of the seminal works of Hamilton [133] and Perelman [217]; this investigation has been mainly directed towards two goals, classification and triviality ...
Marco Rigoli, Luis J. Alías, Paolo Mastrolia   +2 more
openaire   +2 more sources

Geometry of Ricci Solitons*

Chinese Annals of Mathematics, Series B, 2006
Ricci solitons are natural generalizations of Einstein metrics on one hand, and are special solutions of the Ricci flow of Hamilton on the other hand. In this paper we survey some of the recent developments on Ricci solitons and the role they play in the singularity study of the Ricci flow.
openaire   +2 more sources

Gradient generalized $$\eta $$ η -Ricci soliton and contact geometry

, 2022
Amalendu Ghosh
semanticscholar   +1 more source

Conformal Ricci soliton and quasi-Yamabe soliton on generalized Sasakian space form

, 2021
D. Ganguly, S. Dey, Akram Ali, A. Bhattacharyya   +3 more
semanticscholar   +1 more source

Conformal Vector Fields and Ricci Soliton Structures on Natural Riemann Extensions

Mediterranean Journal of Mathematics, 2021
M. Abbassi, Noura Amri, C. Bejan
semanticscholar   +1 more source

Ricci Soliton Biharmonic Hypersurfaces in the Euclidean Space

Ukrainian Mathematical Journal, 2021
N. Mosadegh, E. Abedi, M. Ilmakchi
semanticscholar   +1 more source