On Gradient Shrinking Ricci Solitons with Radial Conditions

被引：0

作者：

Yang, Fei ^{[1
]}

Zhang, Liangdi ^{[2
]}

Ma, Haiyan ^{[3
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

[2] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China

[3] China Univ Geosci, Wuhan 430074, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Rigidity; Classification; Gradient shrinking Ricci soliton; Radial conditions; RIGIDITY;

D O I：

10.1007/s40840-020-01058-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove an n-dimensional radially flat gradient shrinking Ricci solitons with div(2)W(del f, del f) = 0 is rigid. Moreover, we show that a four-dimensional radially flat gradient shrinking Ricci soliton with div(2)W(+/-) (del(f), del(f)) = 0 is either Einstein or a finite quotient of R-4, S-2 x R-2 or S-3 x R.

引用

页码：2161 / 2174

页数：14

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