Rigidity theorem for integral pinched shrinking Ricci solitons

被引：10

作者：

Fu, Hai-Ping ^{[1
]}

Xiao, Li-Qun ^{[2
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] Nanchang Univ, Dept Management Sci & Engn, Nanchang 330031, Jiangxi, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2017年 / 183卷 / 03期

关键词：

Einstein manifold; Ricci soliton; Weyl curvature tensor; Yamabe constant;

D O I：

10.1007/s00605-017-1042-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an n-dimensional, n >= 4, compact gradient shrinking Ricci soliton satisfying a L-n/2 -pinching condition is isometric to a quotient of the round Sn, which improves the rigidity theorem given by Catino (Integral pinched shrinking Ricci solitons, 2016), in dimension 4 <= n <= 6.

引用

页码：487 / 494

页数：8

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