Highly connected 7-manifolds and non-negative sectional curvature
Highly connected 7-manifolds and non-negative sectional curvature
复制标题
高度连通的 7 流形和非负截面曲率
DOI：
10.4007/annals.2020.191.3.3
复制
发表时间：
2020
影响因子：
4.9
通讯作者：
K. Shankar
中科院分区：
文献类型：
--
作者：
S. Goette;M. Kerin;K. Shankar
本文构造了一个具有非负截面曲率的SO(3)不变度量的六参数高连通7-流形，并计算了每个流形的Eells-Kuiper不变量。特别地，由此得出7维的所有奇异球面都有一个非负曲率的SO(3)不变度规。
Summary: In this article, a six-parameter family of highly connected 7 -manifolds which admit an SO (3) invariant metric of non-negative sectional curvature is constructed and the Eells-Kuiper invariant of each is computed. In particular, it follows that all exotic spheres in dimension 7 admit an SO (3) -invariant metric of non-negative curvature.