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.
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页码：487 / 494
页数：8
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