On the scalar curvature of Einstein manifolds

被引：0

作者：

Catanese, F

LeBrun, C

机构：

[1] Math Inst, D-37073 Gottingen, Germany

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

来源：

MATHEMATICAL RESEARCH LETTERS | 1997年 / 4卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there are high-dimensional smooth compact manifolds which admit pairs of Einstein metrics for which the scalar curvatures have opposite signs. These are counter-examples to a conjecture considered by Besse [6, p. 19]. The proof hinges on showing that the Barlow surface has small deformations with ample canonical line bundle.

引用

页码：843 / 854

页数：12

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