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A Note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature

Results in Mathematics
Let (M4,g,f)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(M^4, g, f)$$
Chen Wang, Guo-Qiang Wu
semanticscholar   +1 more source

On isometry groups of gradient Ricci solitons

Forum mathematicum
We give a result estimating the dimension of the Lie algebra of Killing vector fields on an irreducible non-trivial gradient Ricci soliton. Then we study the structure of this manifold when the maximal dimension is attained.
Ha Dung, Hung Tran
semanticscholar   +1 more source

On the fundamental group of steady gradient Ricci solitons with nonnegative sectional curvature

Proceedings of the American Mathematical Society
In this paper, we study the fundamental group of the complete steady gradient Ricci soliton with nonnegative sectional curvature. We prove that the fundamental group of such a Ricci soliton is either trivial or infinite.
Yu-Xing Deng, Yuehan Hao
semanticscholar   +1 more source

Remarks on non-compact gradient Ricci solitons

, 2009
In this paper we show how techniques coming from stochastic analysis, such as stochastic completeness (in the form of the weak maximum principle at infinity), parabolicity and Lp-Liouville type results for the weighted Laplacian associated to the ...
S. Pigola, Michele Rimoldi, A. G. Setti
semanticscholar   +1 more source

On Gradient Ricci Solitons

, 2009
In the first part of the paper we derive integral curvature estimates for complete gradient shrinking Ricci solitons. Our results and the recent work in M. Fernandez-Lopez and E. Garcia-Rio, Rigidity of shrinking Ricci solitons in Math. Z.
Ovidiu Munteanu, N. Šešum
semanticscholar   +1 more source

On a Classification of 4-d Gradient Ricci Solitons with Harmonic Weyl Curvature

, 2016
We study a characterization of 4-dimensional (not necessarily complete) gradient Ricci solitons (M, g, f) which have harmonic Weyl curvature, i.e., $$\delta W=0$$δW=0.
Jongsu Kim
semanticscholar   +1 more source

Gradient Ricci solitons on Kropina measure spaces

Journal of Geometry and Physics, 2023
Qiao-Ling Xia, Junyi Zhu
semanticscholar   +1 more source

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

Archiv Der Mathematik, 2022
Eudes de Lima   +2 more
exaly  

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

Mathematics, 2021
Arpan Sardar   +2 more
exaly  

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