Rigidity for Nonnegatively Curved Metrics on S2 × R3

被引：0
|
作者：
Kristopher Tapp
机构：
[1] Williams College,Department of Mathematics
来源：
Annals of Global Analysis and Geometry | 2004年 / 25卷
关键词：
nonnegative curvature; soul;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We address the question: how large is the family of complete metricswith nonnegative sectional curvature on S2 × R3? We classify theconnection metrics, and give several examples of nonconnection metrics.We provide evidence that the family is small by proving some rigidityresults for metrics more general than connection metrics.
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页码：43 / 58
页数：15
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