某些七维流形的上同调环
Cohomology rings of certain seven dimensional manifolds
摘要：
我们计算了一组支持一维轨道空间的S^3 × S^3-作用的七维流形的上同调环.这些流形是研究非负和正截面曲率的微分几何学家感兴趣的。从这个集合中，我们确定了几个家庭的流形存在著名的拓扑不变量区分同胚和同胚类型。
英文摘要：
We calculate the cohomology rings of a collection of seven dimensional manifolds supporting an S^3 x S^3-action with one dimensional orbit space. These manifolds are of interest to differential geometers studying non-negative and positive sectional curvature. From this collection, we identify several families of manifolds for which there exist well-known topological invariants distinguishing homeomorphism and diffeomorphism types.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
