Classification of gradient steady Ricci solitons with linear curvature decay

被引：13

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.

引用

页码：135 / 154

页数：20