Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature

被引：12
|
作者：
Fu, Haiping [1 ]
Peng, Jianke [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330047, Jiangxi, Peoples R China
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2018年 / 47卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Bach-flat; constant curvature space; Weyl curvature tensor; trace-free Riemannian curvature tensor; DEFORMATION; 4-MANIFOLDS;
D O I：
10.14492/hokmj/1537948832
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove some rigidity theorems for compact Bach-flat n manifold with the positive constant scalar curvature. In particular, our conditions in Theorem 2 have the additional properties of being sharp.
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页码：581 / 605
页数：25
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