Classification of gradient steady Ricci solitons with linear curvature decay

被引：9
|
作者：
Deng, Yuxing [1 ]
Zhu, Xiaohua [2 ,3 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[3] Peking Univ, BICMR, Beijing 100871, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2020年 / 63卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Ricci flow; steady Ricci solitons; rotational symmetry; ROTATIONAL SYMMETRY;
D O I：
10.1007/s11425-019-1548-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 kappa-noncollapsed steady Ricci solitons with non-negative sectional curvature under the linear curvature decay.
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页码：135 / 154
页数：20
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