ON NONCOLLAPSED ALMOST RICCI-FLAT 4-MANIFOLDS

被引：9
作者：
Kapovitch, Vitali [1 ]
Lott, John [2 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2019年 / 141卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
CURVATURE; MANIFOLDS; RIGIDITY; THEOREM; VOLUME;
D O I：
10.1353/ajm.2019.0015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give topological conditions to ensure that a noncollapsed almost Ricci-flat 4-manifold admits a Ricci-flat metric. One sufficient condition is that the manifold is spin and has a nonzero (A) over cap -genus. Another condition is that the fundamental group is infinite or, more generally. of sufficiently large cardinality.
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页码：737 / 755
页数：19
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