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.
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页码：843 / 854
页数：12
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