Classification of gradient steady Ricci solitons with linear curvature decay

Yuxing Deng; Xiaohua Zhu

doi:10.1007/s11425-019-1548-0

Classification of gradient steady Ricci solitons with linear curvature decay

Yuxing Deng^*
, Xiaohua Zhu

^*此作品的通讯作者

数学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

In this paper, we study steady Ricci solitons with a linear decay of sectional curvature. In particular, we give a complete classification of 3-dimensional steady Ricci solitons and 4-dimensional κ-noncollapsed steady Ricci solitons with non-negative sectional curvature under the linear curvature decay.

源语言	英语
页（从-至）	135-154
页数	20
期刊	Science China Mathematics
卷	63
期	1
DOI	https://doi.org/10.1007/s11425-019-1548-0
出版状态	已出版 - 1 1月 2020

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title = "Classification of gradient steady Ricci solitons with linear curvature decay",

abstract = "In this paper, we study steady Ricci solitons with a linear decay of sectional curvature. In particular, we give a complete classification of 3-dimensional steady Ricci solitons and 4-dimensional κ-noncollapsed steady Ricci solitons with non-negative sectional curvature under the linear curvature decay.",

keywords = "53C25, 53C55, 58J05, Ricci flow, rotational symmetry, steady Ricci solitons",

author = "Yuxing Deng and Xiaohua Zhu",

note = "Publisher Copyright: {\textcopyright} 2019, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2020",

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doi = "10.1007/s11425-019-1548-0",

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T1 - Classification of gradient steady Ricci solitons with linear curvature decay

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AU - Zhu, Xiaohua

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AB - In this paper, we study steady Ricci solitons with a linear decay of sectional curvature. In particular, we give a complete classification of 3-dimensional steady Ricci solitons and 4-dimensional κ-noncollapsed steady Ricci solitons with non-negative sectional curvature under the linear curvature decay.

KW - 53C25

KW - 53C55

KW - 58J05

KW - Ricci flow

KW - rotational symmetry

KW - steady Ricci solitons

UR - https://www.scopus.com/pages/publications/85074587686

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DO - 10.1007/s11425-019-1548-0

M3 - Article

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Classification of gradient steady Ricci solitons with linear curvature decay

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