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Almost Ricci solitons on Finsler spaces [PDF]
In this paper, (gradient) almost Ricci solitons on Finsler measure spaces $(M, F, m)$ are introduced and investigated. We prove that $(M, F, m)$ is a gradient almost Ricci soliton if and only if the infinity-Ricci curvature Ric$_\infty$ is a scalar ...
Xia, Qiaoling
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On Locally Conformally Flat Gradient Steady Ricci Solitons
, 2013 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESIn this work we present a study on locally conformally flat gradient steady Ricci solitons which is based on a Huai Dong-Cao and Qing Chen’s article, where they was classified the n ...
Reis, Hiuri Fellipe Santos dos
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Geometry and analysis of gradient Ricci solitons in dimension four [PDF]
Surveys in Differential Geometry[Dedicated to Richard S. Hamilton on forty years of Ricci flow] Gradient Ricci solitons have garnered significant attention both as self-similar solutions and singularity models of the Ricci flow.
Xiaodong Cao, Hung Tran
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Ends of Gradient Ricci Solitons
Journal of Geometric Analysis, 2022Ovidiu Munteanu
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Classification of Gradient Ricci Solitons with Harmonic Weyl Curvature
Journal of Geometric Analysis, 2023We make classifications of gradient Ricci solitons (M, g, f) with harmonic Weyl curvature. As a local classification, we show that the associated Riemannian metric g is locally among the types (i)–(iv) in Theorem 1.
Jongsu Kim
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Some Results on Conformal Geometry of Gradient Ricci Solitons
Bulletin of the Brazilian Mathematical Society, 2019J. F. Silva
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An Optimal Volume Growth Estimate for Noncollapsed Steady Gradient Ricci Solitons
Peking Mathematical Journal, 2021In this paper, we prove a volume growth estimate for steady gradient Ricci solitons with bounded Nash entropy. We show that such a steady gradient Ricci soliton has volume growth rate no smaller than $$r^{\frac{n+1}{2}}.$$ r n + 1 2 .
R. Bamler +3 more
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On gradient solitons of the Ricci–Harmonic flow [PDF]
Acta Mathematica Sinica, English Series, 2015 peer reviewedIn this paper we study gradient solitons to the Ricci flow coupled with harmonic map heat flow. We derive new identities on solitons similar to those on gradient solitons of the Ricci flow.
Anton Thalmaier, Robert Philipowski
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$S U(2)$-invariant steady gradient Ricci solitons on four-manifolds
Communications in analysis and geometry, 2021Using center manifolds and topological degree theory, we construct a new family of complete, $SU(2)$-invariant and steady gradient Ricci solitons on the four-dimensional non-compact cohomogeneity one manifold with group diagram $\mathbb{Z}_4\subset U(1 ...
Timothy Buttsworth
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Hamilton-Ivey estimates for gradient Ricci solitons
Calculus of Variations and Partial Differential Equations, 2021We first show that any 4-dimensional non-Ricci-flat steady gradient Ricci soliton singularity model must satisfy |Rm|≤cR\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
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