Research profile

Fei Yang

Works on 4-manifolds, Ricci solitons and boundaries & non-compact.

NP-RC-887316

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4-manifolds Ricci solitons Boundaries & non-compact Stability & uniqueness

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Liangdi Zhang
2 joint workslatest 2017

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2017

math.DGJul 16, 2017v2arXiv:1707.04846

On the classification of four-dimensional gradient Ricci solitons

Fei Yang, Liangdi Zhang

In this paper, we prove some classification results for four-dimensional gradient Ricci solitons. For a four-dimensional gradient shrinking Ricci soliton with $d i v^{4} R m^{\pm} = 0$ , we show that it is either Einstein or a finite quotient of $R^{4}$ , $S^{2} \times R^{2}$ or $S^{3} \times R$ . The same result can be obtained under the condition of $d i v^{4} W^{\pm} = 0$ . We also present some classification results of four-dimensional complete non-compact gradient expanding Ricci soliton with non-negative Ricci curvature and gradient steady Ricci solitons under certain curvature conditions.

Ricci solitons 4-manifolds Boundaries & non-compact

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math.DGMay 27, 2017arXiv:1705.09754

Rigidity of Gradient Shrinking Ricci Solitons

Fei Yang, Liangdi Zhang

We prove that a gradient shrinking Ricci soliton with fourth order divergence-free Riemannian tensor is rigid. For the $4$ -dimensional case, we show that any gradient shrinking Ricci soliton with fourth order divergence-free Riemannian tensor is either Einstein, or a finite quotient of the Gaussian shrinking soliton $R^{4}$ , $R^{2} \times S^{2}$ or the round cylinder $R \times S^{3}$ . Under the condition of fourth order divergence-free Weyl tensor, we have the same results.

Ricci solitons Stability & uniqueness

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Also on these topics

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Huai-Dong CaoShared topics: 4-manifolds, Boundaries & non-compact, Stability & uniqueness
Michael B. LawShared topics: 4-manifolds, Boundaries & non-compact, Stability & uniqueness
Ernani RibeiroShared topics: 4-manifolds, Boundaries & non-compact, Stability & uniqueness
James SieneShared topics: 4-manifolds, Stability & uniqueness, Ricci solitons
Chen WangShared topics: 4-manifolds, Boundaries & non-compact, Stability & uniqueness

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NP-RC-887316 is Fei Yang's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.