Free, isometric circle actions on compact symmetric spaces

被引：8

作者：

Eschenburg, JH ^{[1
]}

Kollross, A

Shankar, K

机构：

[1] Univ Augsburg, Inst Math, D-86135 Augsburg, Germany

[2] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

来源：

GEOMETRIAE DEDICATA | 2003年 / 102卷 / 01期

基金：

美国国家科学基金会;

关键词：

free circle actions; biquotients; symmetric spaces;

D O I：

10.1023/B:GEOM.0000006563.15371.a4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S=G/K be a strongly irreducible, simply connected, compact symmetric space and let (G) over tilde be its group of isometries. We classify the symmetric spaces among these that admit free, isometric circle actions. The existence of such actions is important in constructing examples of manifolds with positive sectional curvature.

引用

页码：35 / 44

页数：10

共 14 条

[1] INFINITE FAMILY OF DISTINCT 7-MANIFOLDS ADMITTING POSITIVELY CURVED RIEMANNIAN STRUCTURES [J].