Einstein Four-Manifolds With Self-Dual Weyl Curvature of Nonnegative Determinant

被引：5

作者：

Wu, Peng ^{[1
]}

机构：

[1] Fudan Univ, Shanghai Ctr Math Sci, 220 Handan Rd, Shanghai 200433, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1093/imrn/rnz238

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that simply connected Einstein four-manifolds of positive scalar curvature are conformally Kahler if and only if the determinant of the self-dual Weyl curvature is positive.

引用

页码：1043 / 1054

页数：12

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