Topological properties of Eschenburg spaces and 3-Sasakian manifolds

被引：14

作者：

Chinburg, Ted ^{[1
]}

Escher, Christine

Ziller, Wolfgang

机构：

[1] Univ Penn, Philadelphia, PA 19104 USA

[2] Oregon State Univ, Corvallis, OR 97331 USA

来源：

MATHEMATISCHE ANNALEN | 2007年 / 339卷 / 01期

关键词：

D O I：

10.1007/s00208-007-0102-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine topological properties of the seven-dimensional positively curved Eschenburg biquotients and find many examples which are homeomorphic but not diffeomorphic. A special subfamily of these manifolds also carries a 3-Sasakian metric. Among these we construct a pair of 3-Sasakian spaces which are diffeomorphic to each other, thus giving rise to the first example of a manifold which carries two non-isometric 3-Sasakian metrics.

引用

页码：3 / 20

页数：18

共 20 条

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