On Einstein four-manifolds with S1-actions

被引：0

作者：

Harish Seshadri

机构：

[1] SUNY at Stony Brook,Department of Mathematics

[2] University of Oregon,Department of Mathematics

来源：

Mathematische Zeitschrift | 2004年 / 247卷

关键词：

Minimal Surface; Geometric Condition; Warped Product; Natural Geometric Condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study closed Einstein 4-manifolds which admit S1 actions of a certain type, i.e., warped products. In particular, we classify them up to isometry when the fixed point of the S1 action satisfies certain natural geometric conditions. The proof uses the Bochner-Weitzenböck formula for 1-forms and the theory of minimal surfaces in 3-manifolds.

引用

页码：487 / 503

页数：16

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