FOUR-MANIFOLDS WITH POSITIVE YAMABE CONSTANT

被引：5

作者：

Fu, Hai-Ping ^{[1
]}

机构：

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

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2018年 / 296卷 / 01期

关键词：

four-manifold; Einstein manifold; harmonic curvature; harmonic Weyl tensor; Yamabe constant; EINSTEIN MANIFOLDS; CURVATURE; CLASSIFICATION; THEOREM;

D O I：

10.2140/pjm.2018.296.79

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We refine a theorem due to Gursky (2000). As applications, we give some rigidity theorems on four-manifolds with positive Yamabe constant. We recover some of Gursky's results (1998, 2000). We prove some classification theorems of four-manifolds according to some conformal invariants, which reprove and generalize the conformally invariant sphere theorem of Chang, Gursky and Yang (2003).

引用

页码：79 / 104

页数：26

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