On Einstein manifolds of positive sectional curvature

被引：47

作者：

Gursky, MJ

LeBrun, C

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 1999年 / 17卷 / 04期

基金：

美国国家科学基金会;

关键词：

Einstein manifold; scalar curvature; sectional curvature; Weyl curvature;

D O I：

10.1023/A:1006597912184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (M, g) be a compact oriented four-dimensional Einstein manifold. If M has positive intersection form and g has non-negative sectional curvature, we show that, up to rescaling and isometry, (M, g) is CP2, with its standard Fubini-Study metric.

引用

页码：315 / 328

页数：14

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