A conformally invariant classification theorem in four dimensions

被引：7

作者：

Chen, Bing-Long ^{[1
]}

Zhu, Xi-Ping ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2014年 / 22卷 / 05期

关键词：

4-MANIFOLDS; CURVATURE; MANIFOLDS; METRICS;

D O I：

10.4310/CAG.2014.v22.n5.a2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove a classification theorem of 4-manifolds according to some conformal invariants, which generalizes the conformally invariant sphere theorem of Chang-Gursky-Yang [2]. Moreover, it provides a four-dimensional analog of the well-known classification theorem of Schoen-Yau [18, 19] on 3-manifolds with positive Yamabe invariants.

引用

页码：811 / 831

页数：21

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