An equation of Monge-Ampere type in conformal geometry, and four-manifolds of positive Ricci curvature

被引：193
作者：
Chang, SYA [1 ]
Gursky, MJ
Yang, PC
机构：
[1] Princeton Univ, Princeton, NJ 08544 USA
[2] Univ Notre Dame, Notre Dame, IN 46556 USA
来源：
ANNALS OF MATHEMATICS | 2002年 / 155卷 / 03期
关键词：
D O I：
10.2307/3062131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We formulate natural conformally invariant conditions on a 4-manifold for the existence of a metric whose Schouten tensor satisfies a quadratic inequality. This inequality implies that the eigen-values of the Ricci tensor are positively pinched.
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页码：709 / 787
页数：79
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