On optimal 4-dimensional metrics

被引：13

作者：

LeBrun, Claude ^{[1
]}

Maskit, Bernard ^{[1
]}

机构：

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

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2008年 / 18卷 / 02期

基金：

美国国家科学基金会;

关键词：

4-manifold; anti-self-dual metric; scalar curvature; Kleinian group;

D O I：

10.1007/s12220-008-9019-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We completely determine, up to homeomorphism, which simply connected compact oriented 4-manifolds admit scalar- flat, anti-self-dual Riemannian metrics. The key new ingredient is a proof that the connected sum (CP) over bar (2)# (CP) over bar (2)# (CP) over bar (2)# (CP) over bar (2)# (CP) over bar (2) of five reverse-oriented complex projective planes admits such metrics.

引用

页码：537 / 564

页数：28

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